Q: What are the prime factors of the number 6,703,396?

 A: 2, 7, 23, 1487

Why are those the prime factors of the number 6,703,396?

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 6,703,396

6,703,396
Factor Arrows
23,351,698
Factor Arrows
21,675,849
Factor Arrows
7239,407
Factor Arrows
734,201
Factor Arrows
231,487

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, 23, 1487

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 23 x 1,487 = 6,703,396

This can also be written as 22 x 72 x 231 x 1,4871 = 6,703,396

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


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