Q: What are the prime factors of the number 88,347,454?

 A: 2, 13, 19, 13757

Why are those the prime factors of the number 88,347,454?

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 88,347,454

88,347,454
Factor Arrows
244,173,727
Factor Arrows
133,397,979
Factor Arrows
13261,383
Factor Arrows
1913,757

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, 13, 19, 13757

We can check our work by multiplying all of the prime factors together: 2 x 13 x 13 x 19 x 13,757 = 88,347,454

This can also be written as 21 x 132 x 191 x 13,7571 = 88,347,454

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


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