Q: What are the prime factors of the number 3,193,792?

 A: 2, 7, 7129

Why are those the prime factors of the number 3,193,792?

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 3,193,792

3,193,792
Factor Arrows
21,596,896
Factor Arrows
2798,448
Factor Arrows
2399,224
Factor Arrows
2199,612
Factor Arrows
299,806
Factor Arrows
249,903
Factor Arrows
77,129

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, 7, 7129

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 7 x 7,129 = 3,193,792

This can also be written as 26 x 71 x 7,1291 = 3,193,792

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


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