Q: What are the prime factors of the number 64,873,890?

 A: 2, 3, 5, 41, 17581

Why are those the prime factors of the number 64,873,890?

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 64,873,890

64,873,890
Factor Arrows
232,436,945
Factor Arrows
310,812,315
Factor Arrows
33,604,105
Factor Arrows
5720,821
Factor Arrows
4117,581

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, 5, 41, 17581

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 41 x 17,581 = 64,873,890

This can also be written as 21 x 32 x 51 x 411 x 17,5811 = 64,873,890

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


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