Q: What are the prime factors of the number 102,217,455?

 A: 3, 5, 2271499

Why are those the prime factors of the number 102,217,455?

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 102,217,455

102,217,455
Factor Arrows
334,072,485
Factor Arrows
311,357,495
Factor Arrows
52,271,499

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, 2271499

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 2,271,499 = 102,217,455

This can also be written as 32 x 51 x 2,271,4991 = 102,217,455

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


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