Q: What are the prime factors of the number 88,723,845?

 A: 3, 5, 7, 281663

Why are those the prime factors of the number 88,723,845?

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 88,723,845

88,723,845
Factor Arrows
329,574,615
Factor Arrows
39,858,205
Factor Arrows
51,971,641
Factor Arrows
7281,663

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:

3, 5, 7, 281663

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 7 x 281,663 = 88,723,845

This can also be written as 32 x 51 x 71 x 281,6631 = 88,723,845

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


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