Q: What are the prime factors of the number 10,825,731?

 A: 3, 7, 61, 313

Why are those the prime factors of the number 10,825,731?

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 10,825,731

10,825,731
Factor Arrows
33,608,577
Factor Arrows
31,202,859
Factor Arrows
3400,953
Factor Arrows
3133,651
Factor Arrows
719,093
Factor Arrows
61313

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:

3, 7, 61, 313

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 7 x 61 x 313 = 10,825,731

This can also be written as 34 x 71 x 611 x 3131 = 10,825,731

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


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