Q: What are the prime factors of the number 13,166,552?

 A: 2, 7, 235117

Why are those the prime factors of the number 13,166,552?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 13,166,552

13,166,552
Factor Arrows
26,583,276
Factor Arrows
23,291,638
Factor Arrows
21,645,819
Factor Arrows
7235,117

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 7, 235117

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 235,117 = 13,166,552

This can also be written as 23 x 71 x 235,1171 = 13,166,552

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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