Question

write the prime factorization of 72. order the factors from least to greatest (for example, 2 × 2 × 3 × 5). submit work it out not feeling ready yet? these can help: identify factors prime or composite lesson: prime factorization

Explanation:

Step1: Divide by smallest prime (2)

Divide 72 by 2: \( 72 \div 2 = 36 \)

Step2: Divide 36 by 2

\( 36 \div 2 = 18 \)

Step3: Divide 18 by 2

\( 18 \div 2 = 9 \)

Step4: Divide 9 by 3 (next prime)

\( 9 \div 3 = 3 \)

Step5: Divide 3 by 3

\( 3 \div 3 = 1 \)

Step6: Collect prime factors

The prime factors are the divisors used: 2, 2, 2, 3, 3.

Answer:

\( 2 \times 2 \times 2 \times 3 \times 3 \)