Q: What are the prime factors of the number 88,886,580?

 A: 2, 3, 5, 37, 40039

Why are those the prime factors of the number 88,886,580?

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 88,886,580

88,886,580
Factor Arrows
244,443,290
Factor Arrows
222,221,645
Factor Arrows
37,407,215
Factor Arrows
51,481,443
Factor Arrows
3740,039

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, 3, 5, 37, 40039

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 37 x 40,039 = 88,886,580

This can also be written as 22 x 31 x 51 x 371 x 40,0391 = 88,886,580

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


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