Q: What are the prime factors of the number 88,444,550?

 A: 2, 5, 31, 43, 1327

Why are those the prime factors of the number 88,444,550?

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 88,444,550

88,444,550
Factor Arrows
244,222,275
Factor Arrows
58,844,455
Factor Arrows
51,768,891
Factor Arrows
3157,061
Factor Arrows
431,327

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, 5, 31, 43, 1327

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 31 x 43 x 1,327 = 88,444,550

This can also be written as 21 x 52 x 311 x 431 x 1,3271 = 88,444,550

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


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