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The factor tree for 84 has one box empty. Use it to write 84 as a product of powers of primes.

Class 7Prime Factors in Exponent FormNumber System

A $2^{2} \times 3 \times 7$
B $2 \times 3 \times 7$
C $2^{3} \times 3 \times 7$
D $2^{2} \times 21$

Step-by-Step Solution

The empty box is 21 ÷ 3 = 7. The prime leaves are 2, 2, 3 and 7, so

84 = 2^{2} \times 3 \times 7. 2^{2} \times 21

stops early because 21 is not prime.

Answer: A)

2^{2} \times 3 \times 7

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