# Repeated Prime Factors

We know if the factors of a number are prime then it is called prime factor. Now if the same prime factor is repeated more than once then it is called repeated prime factor.

For Example:

Find the repeated prime factors of 64

Solution:

The factors of 64 are:

2 × 2 × 2 ×2 × 2 × 2

Therefore, the repeated factors of 64 are:

2 × 2 × 2 ×2 × 2 × 2

Here are few examples illustrated on repeated factors:

1. List the repeated prime factors of 128

Solution:

The repeated prime factors of 128 are:

2 × 2 × 2 ×2 × 2 × 2 × 2

2. List the repeated prime factors of 256

Solution:

The repeated prime factors of 256 are:

2 × 2 × 2 ×2 × 2 × 2 × 2 × 2

3. Find the repeated prime factors of 81

Solution:

The repeated prime factors of 81 are:

3 × 3 × 3 ×3

4. Find the repeated prime factors of 125

Solution:

The repeated prime factors of 125 are:

5 × 5 × 5

5. List the repeated prime factors of 72

Solution:

The repeated prime factors of 72 are:

2 × 2 × 2 × 3 × 3

6. List the repeated factors of 225

Solution:

The repeated prime factors of 225 are:

3 × 3 × 5 × 5

7. List the repeated factors of 108

Solution:

The repeated prime factors of 108 are:

3 × 3 × 3 × 2 × 2

8. List the repeated factors of 144

Solution:

The repeated prime factors of 144 are:

3 × 3 × 2 × 2 × 2 × 2

9. List the repeated factors of 27

Solution:

The repeated prime factors of 27 are:

3 × 3 × 3

10. List the repeated factors of 625

Solution:

The repeated prime factors of 625 are:

5 × 5 × 5 × 5

11. List the repeated factors of 4096

Solution:

The repeated prime factors of 4096 are:

2 × 2 × 2 ×2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

12. List the repeated factors of 1024

Solution:

The repeated prime factors of 1024 are:

2 × 2 × 2 ×2 × 2 × 2 × 2 × 2 ×2 × 2

13. Find the repeated prime factors of 529

Solution:

The repeated prime factors of 529 are:

23 × 23

14. Find the repeated prime factors of 784

Solution:

The repeated prime factors of 784 are:

2 × 2 × 2 ×2 × 7 × 7

15. Find the repeated prime factors of 2048

Solution:

The repeated prime factors of 2048 are:

2 × 2 × 2 ×2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

16. Find the repeated prime factors of 121

Solution:

The repeated prime factors of 121 are:

11 × 11