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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