Q: What are the prime factors of the number 2,320,064?

 A: 2, 36251

Why are those the prime factors of the number 2,320,064?

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 2,320,064

2,320,064
Factor Arrows
21,160,032
Factor Arrows
2580,016
Factor Arrows
2290,008
Factor Arrows
2145,004
Factor Arrows
272,502
Factor Arrows
236,251

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, 36251

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 36,251 = 2,320,064

This can also be written as 26 x 36,2511 = 2,320,064

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


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