Repeated Factors

Introduction to repeated factors:

In math, a word factor is a number which can divide a particular number. The factors may be composite numbers or prime numbers. The numbers 0 and 1 are not considered as factors. Repeated factors are the factors which are repeated. Let us see the details of repeated factors with some examples.

Explanation to Repeated Factors:

Consider a number 32.

Factors of a number 32 is 2 x 2 x 2 x 2 x 2 = 2^5

Here 2 is a factor that is repeated. So, we can say that 2 is a repeated factor for a number 32. These repeated factors may be composite numbers or prime numbers.

Example Problems to Repeated Factors:

Example: 1

Which of the following is the repeated factor of a number 125?

a) 11

b) 10

c) 25

d) 5

Solution:

Given number: 125

Factors of a number 125 = 5 x 5 x 5

= 53

Answer: d

Example: 2

Which of the following is the repeated factor of a number 81?

a) 2

b) 3

c) 9

d) 0

Solution:

Given number: 81

Factors of a number 81 is 3, 9

3 x 3 x 3 x 3 = 81

9 x 9 = 81

Repeated factor is 3

Answer: b

Example: 3

Which of the following is the repeated factor of a number 512?

a) 11

b) 512

c) 4

d) 2

Solution:

Given number: 512

512 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

= 29

Repeated factor is 2.

Answer: d

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Practice Problems to Repeated Factors:

Problem: 1

Which of the following is the repeated factor of a number 64?

a) 6

b) 0

c) 2

d) 64

Answer: c

Problem: 2

Which of the following is the repeated factor of a number 27?

a) 6

b) 3

c) 2

d) 27

Answer: b