Q: What are the prime factors of the number 32,453,865?

 A: 3, 5, 26711

Why are those the prime factors of the number 32,453,865?

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 32,453,865

32,453,865
Factor Arrows
310,817,955
Factor Arrows
33,605,985
Factor Arrows
31,201,995
Factor Arrows
3400,665
Factor Arrows
3133,555
Factor Arrows
526,711

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, 26711

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 5 x 26,711 = 32,453,865

This can also be written as 35 x 51 x 26,7111 = 32,453,865

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


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