Q: What are the prime factors of the number 88,295,952?

 A: 2, 3, 29, 137, 463

Why are those the prime factors of the number 88,295,952?

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 88,295,952

88,295,952
Factor Arrows
244,147,976
Factor Arrows
222,073,988
Factor Arrows
211,036,994
Factor Arrows
25,518,497
Factor Arrows
31,839,499
Factor Arrows
2963,431
Factor Arrows
137463

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, 29, 137, 463

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 29 x 137 x 463 = 88,295,952

This can also be written as 24 x 31 x 291 x 1371 x 4631 = 88,295,952

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


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