what numbers i can use to make in exponents a prime factorization of 63

1 answer

To express the number 63 in terms of its prime factorization using exponents, we need to break it down into its prime factors.

The prime factorization of 63 is:

\[ 63 = 3^2 \times 7^1 \]

This indicates that 63 can be expressed as:

  • The prime factor 3 raised to the power of 2 (which is \(3 \times 3\)).
  • The prime factor 7 raised to the power of 1 (which is just \(7\)).

Thus, 63 in exponent form of its prime factors is \(3^2 \times 7^1\).