Prime factorisation or complete factorisation of the given number is to express a given number as a product of prime factor.

**For example:**

1. Find prime factorisation of 36.

Prime factorisation of 36 = 2 × 2 × 3 × 3.

= 2² × 3².

[*Here two ways to solve factorisation one is tree factorisation method and the other one is by dividing*.]

2. Find prime factorisation of 32.

**Solution:**

Prime factorisation of 32 = 2 × 2 × 2 × 2 × 2.

= 2⁵.

3. Find prime factorisation of 51.

**Solution:**

Prime factorisation of 51 = 3 × 17.

= 3¹ × 17¹ = 3 × 17.

4. Find prime factorisation of 57.

**Solution:**

Prime factorisation of 57 = 3 × 19 = 3¹ × 19¹ = 3 × 19.

5. Find prime factorisation of 60.

**Solution:**

Prime factorisation of 60 = 2 × 2 × 3 × 5.

= 2² × 3 × 5.

6. Find prime factorisation of 63.

**Solution:**

Prime factorisation of 63 = 3 × 3 × 7.

= 3² × 7.

7. Find prime factorisation of 72.

**Solution:**

Prime factorisation of 72 = 2 × 2 × 2 × 3 × 3.

= 2³ × 3².

8. Find prime factorisation of 75.

**Solution:**

Prime factorisation of 75 = 3 × 5 × 5.

= 3 × 5².

9. Find prime factorisation of 78.

**Solution:**

Prime factorisation of 78 = 2 × 3 × 13.

10. Find prime factorisation of 93.

**Solution:**

Prime factorisation of 93 = 3 × 31.

11. Find prime factorisation of 102.

**Solution:**

Prime factorisation of 102 = 2 × 3 × 17.

12. Find prime factorisation of 120.

**Solution:**

Prime factorisation of 120 = 2 × 2 × 2 × 3 × 5.

= 2³ × 3 × 5.

13. Find prime factorisation of 225.

**Solution:**

Prime factorisation of 225 = 3 × 3 × 5 × 5.

= 3² × 5².

14. Find prime factorisation of 243.

**Solution:**

Prime factorisation of 243 = 3 × 3 × 3 × 3 × 3.

= 3⁵.

15. Find prime factorisation of 360.

**Solution:**

Prime factorisation of 360 = 2 × 2 × 2 × 3 × 3 × 5.

= 2³ × 3² × 5.

**● 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** **5th Grade Math Problems** **From Prime Factorisation to HOME PAGE**

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