Question

1.6.a
score: 3/31 3/31 answered
question 4
when a number has been factored completely, its prime factors are written from smallest to largest.
factor 72 into the product of primes.
answer:
hint: enter each factor in an answer box; enter repeated factors using exponents, for example: 2^3
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Explanation:

Step1: Divide 72 by smallest prime

$72 \div 2 = 36$

Step2: Divide quotient by 2 again

$36 \div 2 = 18$

Step3: Divide quotient by 2 once more

$18 \div 2 = 9$

Step4: Divide 9 by next prime (3)

$9 \div 3 = 3$

Step5: Divide quotient by 3 again

$3 \div 3 = 1$

Step6: Count repeated primes

2 appears 3 times, 3 appears 2 times. Write as exponents: $2^3$, $3^2$

Answer:

$2^3$ $3^2$