Q: What are the prime factors of the number 9,376,896?

 A: 2, 3, 24419

Why are those the prime factors of the number 9,376,896?

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 9,376,896

9,376,896
Factor Arrows
24,688,448
Factor Arrows
22,344,224
Factor Arrows
21,172,112
Factor Arrows
2586,056
Factor Arrows
2293,028
Factor Arrows
2146,514
Factor Arrows
273,257
Factor Arrows
324,419

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, 24419

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 2 x 3 x 24,419 = 9,376,896

This can also be written as 27 x 31 x 24,4191 = 9,376,896

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


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