Q: What are the prime factors of the number 10,233,422?

 A: 2, 17, 491, 613

Why are those the prime factors of the number 10,233,422?

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 10,233,422

10,233,422
Factor Arrows
25,116,711
Factor Arrows
17300,983
Factor Arrows
491613

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, 17, 491, 613

We can check our work by multiplying all of the prime factors together: 2 x 17 x 491 x 613 = 10,233,422

This can also be written as 21 x 171 x 4911 x 6131 = 10,233,422

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


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