Express 144 in prime factors
Mathematics
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Answer
To express 144 in prime factors, we need to find the prime numbers that multiply together to give 144.
Step-by-step solution
6 stepsStart dividing 144 by the smallest prime number, which is 2.
144 ÷ 2 = 72
Continue dividing the result by 2 as long as it's even.
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9Now, 9 is not divisible by 2.
Move to the next smallest prime number, which is 3.
9 ÷ 3 = 3The result is 3, which is a prime number.
So, we stop here.
Collect all the prime factors we used.
The prime factors are 2, 2, 2, 2, 3, and 3.
Write the prime factorization using exponents.
144 = 2 × 2 × 2 × 2 × 3 × 3 = 2⁴ × 3²
The prime factorization of 144 is 2⁴ × 3².
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