Q: What are the prime factors of the number 166,252,455?

 A: 3, 5, 3694499

Why are those the prime factors of the number 166,252,455?

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 166,252,455

166,252,455
Factor Arrows
355,417,485
Factor Arrows
318,472,495
Factor Arrows
53,694,499

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:

3, 5, 3694499

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 3,694,499 = 166,252,455

This can also be written as 32 x 51 x 3,694,4991 = 166,252,455

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


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