# Prime Factors

Factor of a number is the divisor by which the dividend is completely divisible that is leaving no remainder. If such divisor is a prime number then it is called prime factor. Therefore, factors of a number which are prime are known as prime factor.

For Example:

Find the prime factors of 289

The prime factors of 289 are:

17 × 17

Or, 17, 17

Here are few more examples illustrated on prime factors:

1. Find the prime factors of 57

Solution:

The prime factors of 57 are:

19 × 3 or 19, 3

2. Find the prime factors of 343

Solution:

The prime factors of 343 are:

7 × 7 × 7

Or, 7, 7, 7

3. List the prime factors of 87

Solution:

The prime factors of 87 are:

3 × 29

Or, 3, 29

4. List the prime factors of 15

Solution:

The prime factors of 15 are:

3 × 5

Or, 3, 5

5. List the prime factors of 46

Solution:

The prime factors of 46 are:

2 × 23

Or, 2, 23

6. List the prime factors of 65

Solution:

The prime factors of 65 are:

5 × 13

Or, 13, 5

7. List the prime factors of 115

Solution:

The prime factors of 115 are:

5 × 23

Or, 5, 23

8. List the prime factors of 105

Solution:

The prime factors of 105 are:

3 × 5 × 7

Or, 3, 5, 7

9. List the prime factors of 210

Solution:

The prime factors of 210 are:

2 × 3 × 5 × 7

Or, 2, 3, 5, 7

10. List the prime factors of 21

Solution:

The Prime factors of 21 are:

3 × 7

Or, 3, 7

11. List the prime factors of 42

Solution:

The prime factors of 42 are:

2 × 3 × 7

Or, 2, 3, 7

12. List the prime factors of 132

Solution:

The prime factors of 132 are:

2 × 2 × 3 × 11

Or, 2, 2, 3, 11

13. List the prime factors of 178

Solution:

The prime factors of 178 are:

2 × 29

Or, 2, 29

14. List the prime factors of 99

Solution:

The prime factors of 99 are:

3 × 3 × 11

Or, 3, 3, 11

15.List the prime factors of 38

Solution:

The prime factors of 38 are:

2 × 19

Or, 2, 19

16. Find the prime factors of 221

Solution:

The prime factors of 221 are:

13 × 17

Or, 13, 17

17. Find out the prime factors of 361

Solution:

The prime factors of 361 are:

19 × 19

Or, 19, 19

18. Find the prime factors of 63

Solution:

The prime factors of 63 are:

3 × 3 × 7

Or, 3, 3, 7

19. List the prime factors of 225

Solution:

The prime factors of 225 are:

3 × 3 × 5 × 5

Or, 3, 3, 5, 5

20. List the prime factors of 315

Solution:

The prime factors of 315 are:

3 × 3 × 5 × 7

Or, 3, 3, 5, 7

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