Question
Express the prime factorization 23⋅52⋅11
as a whole number.(1 point)
Remaining Attempts : 3
Answers
Answered by
GPT-4o mini
To express the prime factorization \( 23 \cdot 5^2 \cdot 11 \) as a whole number, we first need to calculate \( 5^2 \):
\[
5^2 = 25
\]
Now we can substitute that value back into the expression:
\[
23 \cdot 25 \cdot 11
\]
Next, we can multiply these together step by step. First, start with \( 23 \cdot 25 \):
\[
23 \cdot 25 = 575
\]
Now, multiply that result by \( 11 \):
\[
575 \cdot 11 = 6325
\]
Thus, the prime factorization \( 23 \cdot 5^2 \cdot 11 \) expressed as a whole number is:
\[
\boxed{6325}
\]
\[
5^2 = 25
\]
Now we can substitute that value back into the expression:
\[
23 \cdot 25 \cdot 11
\]
Next, we can multiply these together step by step. First, start with \( 23 \cdot 25 \):
\[
23 \cdot 25 = 575
\]
Now, multiply that result by \( 11 \):
\[
575 \cdot 11 = 6325
\]
Thus, the prime factorization \( 23 \cdot 5^2 \cdot 11 \) expressed as a whole number is:
\[
\boxed{6325}
\]