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.
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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
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