Question

Give the prime factorization of the number. Use exponential form. 7875

Polynomial factorization
ANSWERED
asked 2021-06-04
Give the prime factorization of the number. Use exponential form.
7875

Answers (1)

2021-06-05

Step 1
Consider the given number 7875.
Step 2
Obtain the prime factorization of the number 7875 as follows.
\(7875 = 3\times 2625\ \ \ [3\times 2625 = 7875]\)
\(=3\times 3\times 875\ \ \ [3\times 875 = 2625]\)
\(=3\times 3\times 5\times 175\ \ \ [5\times 175=875]\)
\(=3\times 3\times 5\times 5\times 35\ \ \ [5\times 35=175]\)
\(=3\times 3\times 5\times 5\times 5\times 7\ \ \ [5\times 7 = 35]\)
\(=3^{2}\times5^{3}\times7\)
Thus, the prime factorization of the number 7875 is \(3^{2}\times5^{3}\times7\).

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