Q: What are the prime factors of the number 133,731,380?

 A: 2, 5, 6686569

Why are those the prime factors of the number 133,731,380?

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 133,731,380

133,731,380
Factor Arrows
266,865,690
Factor Arrows
233,432,845
Factor Arrows
56,686,569

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, 5, 6686569

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 6,686,569 = 133,731,380

This can also be written as 22 x 51 x 6,686,5691 = 133,731,380

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


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