Question

find the prime factorization of the given number.
63

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find the prime factorization of the given number.
84

Explanation:

Step1: Factor 63 into 7 and 9

$63 = 7 \times 9$

Step2: Factor 9 into primes

$9 = 3 \times 3$

Step3: Combine prime factors of 63

$63 = 3^2 \times 7$

Step4: Factor 84 into 4 and 21

$84 = 4 \times 21$

Step5: Factor 4 and 21 into primes

$4 = 2 \times 2$, $21 = 3 \times 7$

Step6: Combine prime factors of 84

$84 = 2^2 \times 3 \times 7$

Answer:

For 63: $3^2 \times 7$
For 84: $2^2 \times 3 \times 7$