Q: What are the prime factors of the number 6,769,392?

 A: 2, 3, 7, 20147

Why are those the prime factors of the number 6,769,392?

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 6,769,392

6,769,392
Factor Arrows
23,384,696
Factor Arrows
21,692,348
Factor Arrows
2846,174
Factor Arrows
2423,087
Factor Arrows
3141,029
Factor Arrows
720,147

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, 7, 20147

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 7 x 20,147 = 6,769,392

This can also be written as 24 x 31 x 71 x 20,1471 = 6,769,392

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


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