Answer
\[{{2}^{2}}\times {{3}^{2}}\times 7\].
Work Step by Step
Write \[252\] in terms of prime factors as follows:
\[252=2\times 2\times 3\times 3\times 7\]
Now, use exponents to show the repeated prime factors:
\[252={{2}^{2}}\times {{3}^{2}}\times 7\]
Hence, the prime factorization of is \[{{2}^{2}}\times {{3}^{2}}\times 7\].
