Find the prime factorisation of 144 and express it in exponential form.

Find the prime factorisation of 144 and express it in exponential form.  

Divide 144 by the smallest prime number (2):
144 ÷ 2 = 72

Divide 72 by 2:
72 ÷ 2 = 36

Divide 36 by 2:
36 ÷ 2 = 18

Divide 18 by 2:
18 ÷ 2 = 9

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

Divide 3 by 3 again:
3 ÷ 3 = 1

Expressing in Exponential Form:
144 = 2 × 2 × 2 × 2 × 3 × 3
= 2⁴ × 3²

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