GMAT Exam > GMAT Videos > Quantitative for GMAT > Number Properties: Concepts & Questions - 1
Number Properties: Concepts & Questions - 1 Video Lecture | Quantitative for GMAT
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FAQs on Number Properties: Concepts & Questions - 1 Video Lecture - Quantitative for GMAT
| 1. What are number properties in mathematics? |  |
Ans. Number properties in mathematics refer to the various characteristics and behaviors of numbers. These properties include factors and multiples, prime and composite numbers, even and odd numbers, divisibility rules, and properties of operations such as addition, subtraction, multiplication, and division.
| 2. How can I determine if a number is prime or composite? | |
Ans. To determine if a number is prime or composite, you can check its factors. If a number has only two distinct factors, 1 and itself, then it is a prime number. On the other hand, if a number has more than two factors, it is a composite number. For example, 7 is a prime number as its only factors are 1 and 7, while 10 is a composite number as it has factors 1, 2, 5, and 10.
| 3. What are the properties of even and odd numbers? | |
Ans. Even numbers are divisible by 2, meaning they can be divided into two equal parts without leaving any remainder. On the other hand, odd numbers are not divisible by 2 and always have a remainder of 1 when divided by 2. The sum or difference of two even numbers is always even, the sum or difference of two odd numbers is always even, and the sum or difference of an even and an odd number is always odd.
| 4. What are the divisibility rules for numbers? | |
Ans. Divisibility rules are shortcuts or patterns that can help determine if a number is divisible by another number without actually performing the division. For example, a number is divisible by 2 if its last digit is even, and it is divisible by 3 if the sum of its digits is divisible by 3. Other common divisibility rules include rules for divisibility by 5, 6, 9, and 10.
| 5. How can I find the factors and multiples of a number? | |
Ans. To find the factors of a number, you can divide the number by different integers and check if the division is exact (no remainder). The factors of a number are the numbers that divide it without leaving a remainder. Multiples of a number, on the other hand, are obtained by multiplying the number by different integers. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, while the multiples of 12 are 12, 24, 36, 48, and so on.
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Nov 15, 2024 Last updated |
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