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Find the prime factorisation of 144 and express it in exponential form.
Find the prime factorisation of 144 and express it in exponential form.
This Question has 1 answers.
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
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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