Q: What are the prime factors of the number 10,710,596?

 A: 2, 13, 281, 733

Why are those the prime factors of the number 10,710,596?

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 10,710,596

10,710,596
Factor Arrows
25,355,298
Factor Arrows
22,677,649
Factor Arrows
13205,973
Factor Arrows
281733

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, 281, 733

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 281 x 733 = 10,710,596

This can also be written as 22 x 131 x 2811 x 7331 = 10,710,596

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


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