Q: What are the prime factors of the number 87,553,785?

 A: 3, 5, 11, 48239

Why are those the prime factors of the number 87,553,785?

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 87,553,785

87,553,785
Factor Arrows
329,184,595
Factor Arrows
55,836,919
Factor Arrows
11530,629
Factor Arrows
1148,239

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, 11, 48239

We can check our work by multiplying all of the prime factors together: 3 x 5 x 11 x 11 x 48,239 = 87,553,785

This can also be written as 31 x 51 x 112 x 48,2391 = 87,553,785

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


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