Question

Write 625 as a product of primes. Use index notation where appropriate.

Answer 1

Answer:

The prime factorization of 625 is 5 x 5 x 5 x 5 = 54.

Answer 2

Given,

The given number$\[ = 625\]$

Solution,

Know that the Fundamental Theorem of Arithmetic states that every composite number can be factored uniquely (except for the order of the factors) into a product of prime factors. What this means is that how you choose to factor a number into prime factors makes no difference.

Therefore, the prime products  $\[625\]$ are

$\[\begin{array}{l} \Rightarrow 625\\ \Rightarrow 5 \times 5 \times 5 \times 5\\ \Rightarrow {5^4}\end{array}\]$

Hence, the prime products $\[625\]$ are $\[5 \times 5 \times 5 \times 5.\]$