Class 4 Exam > Class 4 Videos > Mathematics for Class 4 > Factors and Multiples
Factors and Multiples Video Lecture | Mathematics for Class 4
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FAQs on Factors and Multiples Video Lecture - Mathematics for Class 4
| 1. What are factors and multiples in mathematics? |  |
Ans. Factors are the numbers that divide a given number exactly, whereas multiples are the result of multiplying a given number by any other number. For example, factors of 12 are 1, 2, 3, 4, 6, and 12, while multiples of 12 are 12, 24, 36, 48, etc.
| 2. How can one find the common factors of two or more numbers? | |
Ans. To find the common factors of two or more numbers, we need to list all the factors of each number and then find the common ones. For example, the common factors of 12 and 18 are 1, 2, 3, and 6.
| 3. What is the difference between LCM and HCF? | |
Ans. LCM stands for Least Common Multiple, which is the smallest number that is a multiple of two or more numbers. On the other hand, HCF stands for Highest Common Factor, which is the largest number that divides two or more numbers exactly.
| 4. How can one find the LCM of two or more numbers? | |
Ans. To find the LCM of two or more numbers, we need to list the multiples of each number until we find a common multiple. The smallest common multiple is the LCM. For example, the LCM of 4 and 6 is 12, as 12 is the smallest number that is a multiple of both 4 and 6.
| 5. What are some real-life applications of factors and multiples? | |
Ans. Factors and multiples have many applications in real life, such as finding the common denominators in fractions, calculating the least number of objects needed to arrange them in rows and columns, and finding the time for two events to occur at the same time again.
Text Transcript from Video
0:0:1: [Music]
0:0:5: [Applause]
0:0:5: [Music]
0:0:8: today
0:0:9: let us revise
0:0:11: factors and multiples
0:0:15: let us start with factors
0:0:18: what do we mean by a factor
0:0:21: a factor of a number divides that number
0:0:25: exactly
0:0:27: let us look at an example
0:0:30: find the factors of fifty-eight
0:0:35: the first pair is
0:0:37: one into fifty-eight is equal to
0:0:41: fifty-eight
0:0:43: here
0:0:44: when we divide 58 by 1
0:0:48: we get the quotient as
0:0:50: 58
0:0:52: and when we divide 58 by
0:0:56: 58 we get the quotient as
0:1:0: one
0:1:2: in both the cases the remainder is zero
0:1:7: thus
0:1:8: it means that 58 is divisible by
0:1:12: 1
0:1:13: and 58.
0:1:17: the second pair of numbers which gives
0:1:20: the product 58
0:1:23: is
0:1:24: 2 into 29
0:1:28: thus the factors of 58 are
0:1:33: 1
0:1:34: 2
0:1:35: 29
0:1:36: and 58.
0:1:40: let us solve one more example
0:1:43: find the factors of 81.
0:1:48: the pairs of numbers which give the
0:1:50: product 81 are
0:1:53: one into eighty-one
0:1:55: is equal to eighty-one
0:1:58: three into twenty-seven
0:2:1: is equal to eighty-one
0:2:5: nine into nine
0:2:7: is equal to
0:2:9: 81
0:2:11: thus
0:2:11: the factors of 81 are
0:2:15: 1
0:2:16: 3
0:2:17: 9
0:2:18: 27
0:2:19: and
0:2:20: 81 as each of these number divides 81
0:2:26: exactly
0:2:28: did you notice we counted the repeated
0:2:32: factor only once
0:2:35: remember
0:2:37: every number has one
0:2:40: as a factor
0:2:42: every number is a factor of itself
0:2:47: thus
0:2:48: every number except one
0:2:52: has at least
0:2:54: two factors
0:2:56: one
0:2:57: and the number itself
0:3:1: the factor of a number
0:3:3: is always equal to
0:3:6: or less than
0:3:8: the number
0:3:11: now
0:3:12: let us look
0:3:13: at multiples
0:3:16: a multiple of a number
0:3:19: is the product obtained
0:3:21: when the number is multiplied by the
0:3:25: same or any other number
0:3:30: let us find the multiples of 12.
0:3:34: it is easy
0:3:37: when we multiply 12
0:3:40: by
0:3:41: 0
0:3:42: 1
0:3:43: 2
0:3:44: 3
0:3:45: 4
0:3:47: 5
0:3:48: 6
0:3:49: 7
0:3:50: 8
0:3:51: 9
0:3:53: 10
0:3:54: and so on
0:3:56: we get
0:3:58: 0
0:3:59: 12
0:4:0: 24
0:4:2: 36
0:4:3: 48
0:4:5: 60
0:4:6: 72
0:4:8: 84
0:4:9: 96
0:4:11: 108
0:4:13: 120
0:4:14: and so on
0:4:16: as the products
0:4:19: so here
0:4:20: the products obtained are nothing else
0:4:24: but the multiples of 12.
0:4:28: let us look at another example
0:4:31: find the multiples of 19
0:4:36: when we multiply 19
0:4:39: by
0:4:40: 0
0:4:41: 1 2
0:4:43: 3
0:4:44: 4
0:4:46: 5
0:4:47: 6
0:4:48: 7
0:4:49: 8
0:4:50: 9
0:4:52: 10
0:4:53: and so on
0:4:55: we get
0:4:57: 0
0:4:58: 19
0:5:0: 38
0:5:1: 57
0:5:4: 76
0:5:5: 95
0:5:7: 114
0:5:10: 133
0:5:12: 152
0:5:15: 171
0:5:18: 190
0:5:20: and so on
0:5:23: thus
0:5:24: the multiples of 19
0:5:27: are
0:5:29: 0
0:5:30: 19
0:5:31: 38
0:5:33: 57
0:5:35: 76
0:5:36: 95
0:5:38: 114
0:5:40: 133
0:5:43: 152
0:5:45: 171
0:5:49: 190
0:5:50: and so on
0:5:53: remember
0:5:55: a number is a multiple of itself
0:5:59: every number is a multiple
0:6:2: of one
0:6:5: every multiple of a given number
0:6:8: is equal to
0:6:10: or greater than the number itself
0:6:15: every number has an infinite number
0:6:20: of multiples
0:6:22: 0
0:6:23: is a multiple
0:6:25: of every number
0:6:27: but 0 is not a factor of any number
0:6:32: except zero
0:6:36: revising factors and multiples was fun
0:6:44: [Music]
0:6:48: [Applause]
0:6:48: [Music]
0:6:50: you
0:0:5: [Applause]
0:0:5: [Music]
0:0:8: today
0:0:9: let us revise
0:0:11: factors and multiples
0:0:15: let us start with factors
0:0:18: what do we mean by a factor
0:0:21: a factor of a number divides that number
0:0:25: exactly
0:0:27: let us look at an example
0:0:30: find the factors of fifty-eight
0:0:35: the first pair is
0:0:37: one into fifty-eight is equal to
0:0:41: fifty-eight
0:0:43: here
0:0:44: when we divide 58 by 1
0:0:48: we get the quotient as
0:0:50: 58
0:0:52: and when we divide 58 by
0:0:56: 58 we get the quotient as
0:1:0: one
0:1:2: in both the cases the remainder is zero
0:1:7: thus
0:1:8: it means that 58 is divisible by
0:1:12: 1
0:1:13: and 58.
0:1:17: the second pair of numbers which gives
0:1:20: the product 58
0:1:23: is
0:1:24: 2 into 29
0:1:28: thus the factors of 58 are
0:1:33: 1
0:1:34: 2
0:1:35: 29
0:1:36: and 58.
0:1:40: let us solve one more example
0:1:43: find the factors of 81.
0:1:48: the pairs of numbers which give the
0:1:50: product 81 are
0:1:53: one into eighty-one
0:1:55: is equal to eighty-one
0:1:58: three into twenty-seven
0:2:1: is equal to eighty-one
0:2:5: nine into nine
0:2:7: is equal to
0:2:9: 81
0:2:11: thus
0:2:11: the factors of 81 are
0:2:15: 1
0:2:16: 3
0:2:17: 9
0:2:18: 27
0:2:19: and
0:2:20: 81 as each of these number divides 81
0:2:26: exactly
0:2:28: did you notice we counted the repeated
0:2:32: factor only once
0:2:35: remember
0:2:37: every number has one
0:2:40: as a factor
0:2:42: every number is a factor of itself
0:2:47: thus
0:2:48: every number except one
0:2:52: has at least
0:2:54: two factors
0:2:56: one
0:2:57: and the number itself
0:3:1: the factor of a number
0:3:3: is always equal to
0:3:6: or less than
0:3:8: the number
0:3:11: now
0:3:12: let us look
0:3:13: at multiples
0:3:16: a multiple of a number
0:3:19: is the product obtained
0:3:21: when the number is multiplied by the
0:3:25: same or any other number
0:3:30: let us find the multiples of 12.
0:3:34: it is easy
0:3:37: when we multiply 12
0:3:40: by
0:3:41: 0
0:3:42: 1
0:3:43: 2
0:3:44: 3
0:3:45: 4
0:3:47: 5
0:3:48: 6
0:3:49: 7
0:3:50: 8
0:3:51: 9
0:3:53: 10
0:3:54: and so on
0:3:56: we get
0:3:58: 0
0:3:59: 12
0:4:0: 24
0:4:2: 36
0:4:3: 48
0:4:5: 60
0:4:6: 72
0:4:8: 84
0:4:9: 96
0:4:11: 108
0:4:13: 120
0:4:14: and so on
0:4:16: as the products
0:4:19: so here
0:4:20: the products obtained are nothing else
0:4:24: but the multiples of 12.
0:4:28: let us look at another example
0:4:31: find the multiples of 19
0:4:36: when we multiply 19
0:4:39: by
0:4:40: 0
0:4:41: 1 2
0:4:43: 3
0:4:44: 4
0:4:46: 5
0:4:47: 6
0:4:48: 7
0:4:49: 8
0:4:50: 9
0:4:52: 10
0:4:53: and so on
0:4:55: we get
0:4:57: 0
0:4:58: 19
0:5:0: 38
0:5:1: 57
0:5:4: 76
0:5:5: 95
0:5:7: 114
0:5:10: 133
0:5:12: 152
0:5:15: 171
0:5:18: 190
0:5:20: and so on
0:5:23: thus
0:5:24: the multiples of 19
0:5:27: are
0:5:29: 0
0:5:30: 19
0:5:31: 38
0:5:33: 57
0:5:35: 76
0:5:36: 95
0:5:38: 114
0:5:40: 133
0:5:43: 152
0:5:45: 171
0:5:49: 190
0:5:50: and so on
0:5:53: remember
0:5:55: a number is a multiple of itself
0:5:59: every number is a multiple
0:6:2: of one
0:6:5: every multiple of a given number
0:6:8: is equal to
0:6:10: or greater than the number itself
0:6:15: every number has an infinite number
0:6:20: of multiples
0:6:22: 0
0:6:23: is a multiple
0:6:25: of every number
0:6:27: but 0 is not a factor of any number
0:6:32: except zero
0:6:36: revising factors and multiples was fun
0:6:44: [Music]
0:6:48: [Applause]
0:6:48: [Music]
0:6:50: you
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Nov 21, 2024 Last updated |
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