Prime Factors

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

Prime Factors of 210

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.

● Common Factors.

● Prime Factor.

● Repeated Prime 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).

● Prime Factorisation.

● 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

5th Grade Math Problems

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