Q: What are the prime factors of the number 10,320,758?

 A: 2, 7, 137, 5381

Why are those the prime factors of the number 10,320,758?

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 10,320,758

10,320,758
Factor Arrows
25,160,379
Factor Arrows
7737,197
Factor Arrows
1375,381

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, 137, 5381

We can check our work by multiplying all of the prime factors together: 2 x 7 x 137 x 5,381 = 10,320,758

This can also be written as 21 x 71 x 1371 x 5,3811 = 10,320,758

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


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