Find the prime factors of 36 using the prime factorisation method.

Question

Find the prime factors of 36 using the prime factorisation method.

Posted by: Mohit Bhardwaj | Created at: Mar 22, 2025 | Last updated: Mar 22, 2025

Tags: Class X Maths Real Numbers

This Question has 1 answers.

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Tiyansh Bhardwaj · Accepted Answer · 2025-03-22T04:20:08+00:00

Answer #2193

Divide 36 by the smallest prime number (2):
36 ÷ 2 = 18

Divide 18 by 2 again:
18 ÷ 2 = 9

Divide 9 by the next smallest prime number (3):
9 ÷ 3 = 3

Divide 3 by 3 again:
3 ÷ 3 = 1

So, 36 = 2 × 2 × 3 × 3 or 36 = 2² × 3².

Prime factors of 36 are 2² × 3².

Posted by: Tiyansh Bhardwaj | Created at: Mar 22, 2025 | Last updated: Mar 22, 2025