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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