Q: What are the prime factors of the number 6,238,072?

 A: 2, 419, 1861

Why are those the prime factors of the number 6,238,072?

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 6,238,072

6,238,072
Factor Arrows
23,119,036
Factor Arrows
21,559,518
Factor Arrows
2779,759
Factor Arrows
4191,861

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, 419, 1861

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 419 x 1,861 = 6,238,072

This can also be written as 23 x 4191 x 1,8611 = 6,238,072

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


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