Q: What are the prime factors of the number 88,210,440?

 A: 2, 3, 5, 245029

Why are those the prime factors of the number 88,210,440?

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 88,210,440

88,210,440
Factor Arrows
244,105,220
Factor Arrows
222,052,610
Factor Arrows
211,026,305
Factor Arrows
33,675,435
Factor Arrows
31,225,145
Factor Arrows
5245,029

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, 245029

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 5 x 245,029 = 88,210,440

This can also be written as 23 x 32 x 51 x 245,0291 = 88,210,440

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


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