Q: What are the prime factors of the number 90,878,500?

 A: 2, 5, 181757

Why are those the prime factors of the number 90,878,500?

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 90,878,500

90,878,500
Factor Arrows
245,439,250
Factor Arrows
222,719,625
Factor Arrows
54,543,925
Factor Arrows
5908,785
Factor Arrows
5181,757

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, 181757

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 5 x 181,757 = 90,878,500

This can also be written as 22 x 53 x 181,7571 = 90,878,500

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


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