Q: What are the prime factors of the number 131,330,452?

 A: 2, 11, 67, 44549

Why are those the prime factors of the number 131,330,452?

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 131,330,452

131,330,452
Factor Arrows
265,665,226
Factor Arrows
232,832,613
Factor Arrows
112,984,783
Factor Arrows
6744,549

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, 11, 67, 44549

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 67 x 44,549 = 131,330,452

This can also be written as 22 x 111 x 671 x 44,5491 = 131,330,452

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


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