Q: What are the prime factors of the number 88,370,235?

 A: 3, 5, 19, 103357

Why are those the prime factors of the number 88,370,235?

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 88,370,235

88,370,235
Factor Arrows
329,456,745
Factor Arrows
39,818,915
Factor Arrows
51,963,783
Factor Arrows
19103,357

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, 19, 103357

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 19 x 103,357 = 88,370,235

This can also be written as 32 x 51 x 191 x 103,3571 = 88,370,235

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


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