Q: What are the prime factors of the number 8,345,896?

 A: 2, 13, 6173

Why are those the prime factors of the number 8,345,896?

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 8,345,896

8,345,896
Factor Arrows
24,172,948
Factor Arrows
22,086,474
Factor Arrows
21,043,237
Factor Arrows
1380,249
Factor Arrows
136,173

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, 13, 6173

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 13 x 6,173 = 8,345,896

This can also be written as 23 x 132 x 6,1731 = 8,345,896

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


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