Prime factor is the factor of the given number which is a prime number also.
How to find the prime factors of a number?
Let us take an example to find prime factors of 210. We need to divide 210 by the first prime number 2 we get 105. Now we need to divide 105 by the prime number 3 and we get 35. Again we need to divide 35 by the prime number 5 and we get 7. And, again we need to divide 7 by the prime number 7 and we get 1. Therefore, 210 = 2 × 3 × 5 × 7 

In the same way if we find the factor of 14 then, they are 1, 2, 7 and 14. Out of these 2 and 7 are prime numbers.
Therefore, 2 and 7 are prime factors of 14.
Hence, 14 = 2 × 7
Some examples to find the prime factors of the given number:
(i) 15
The prime factors of 15 are 3 and 5;
15 = 3 × 5.
(ii) 21
The prime factors of 21 are 3 and 7;
21 = 3 × 7.
(iii) 30
The prime factors of 30 are 2, 3 and 5;
30 = 2 ×3 × 5.
(iv) 35
The prime factors of 35 are 5 and 7;
35 = 5× 7.
(v) 42
The prime factors of 42 are 2, 3 and 7;
42 = 2 × 3 × 7.
● Factors.
● Highest Common Factor (H.C.F).
● Examples on Highest Common Factor (H.C.F).
● Greatest Common Factor (G.C.F).
● Examples of Greatest Common Factor (G.C.F).
● To find Highest Common Factor by using Prime Factorization Method.
● Examples to find Highest Common Factor by using Prime Factorization Method.
● To find Highest Common Factor by using Division Method.
● Examples to find Highest Common Factor of two numbers by using Division Method.
● To find the Highest Common Factor of three numbers by using Division Method.
5th Grade Numbers Page
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