Q: What are the prime factors of the number 88,711,848?

 A: 2, 3, 17, 8053

Why are those the prime factors of the number 88,711,848?

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 88,711,848

88,711,848
Factor Arrows
244,355,924
Factor Arrows
222,177,962
Factor Arrows
211,088,981
Factor Arrows
33,696,327
Factor Arrows
31,232,109
Factor Arrows
3410,703
Factor Arrows
3136,901
Factor Arrows
178,053

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, 17, 8053

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 3 x 17 x 8,053 = 88,711,848

This can also be written as 23 x 34 x 171 x 8,0531 = 88,711,848

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


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