Q: What are the prime factors of the number 3,248,872?

 A: 2, 11, 36919

Why are those the prime factors of the number 3,248,872?

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 3,248,872

3,248,872
Factor Arrows
21,624,436
Factor Arrows
2812,218
Factor Arrows
2406,109
Factor Arrows
1136,919

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, 11, 36919

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 36,919 = 3,248,872

This can also be written as 23 x 111 x 36,9191 = 3,248,872

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


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