Q: What are the prime factors of the number 10,404,834?

 A: 2, 3, 11, 157649

Why are those the prime factors of the number 10,404,834?

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 10,404,834

10,404,834
Factor Arrows
25,202,417
Factor Arrows
31,734,139
Factor Arrows
11157,649

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, 3, 11, 157649

We can check our work by multiplying all of the prime factors together: 2 x 3 x 11 x 157,649 = 10,404,834

This can also be written as 21 x 31 x 111 x 157,6491 = 10,404,834

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


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