Factors and Multiples Video Lecture - for Class 5

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