Factors
Factors
Factors: Factors are whole numbers that are multiplied together to produce another number. The original numbers are factors of the product number. If a x b = c then a and b are factors of c.
Factor, in mathematics, a number or algebraic expression that divides another number or expression evenly i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.
Note: 1. Every number is a factor of itself.
2. 1 is a factor of every number.
3. Every factor of a number is an exact divisor of that number.
4. Every factor is less than or equal to the given number.
5. Number of factors of a given number are finite.
Illustration: Find the factors of 36.
Solution: 36 = 1 X 36
36 = 2 X 18
36 = 4 X 9
36 = 6 X 6
36 = 3 X 12
Hence, the factors of 36 are 1,2,3,4,6,9,12,18 and 36.
Illustration: Find the factors of 68.
Solution: We have
68 = 1 X 68
68 = 2 X 34
68 = 4 X 17
68 = 17 X 4
Hence, the factors of 68 are 1,2,4,17,34 and 68.
A natural number which is equal to the sum of its factors is called a ________ . | |||
| Right Option : A | |||
| View Explanation |
An abundant number is less than the sum of its factors ( other than itself). Which is the least abundant number ? | |||
| Right Option : B | |||
| View Explanation | |||
Identify the set of numbers between 10 and 20 which have exactly two factors
| |||
| Right Option : D | |||
| View Explanation | |||
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