Q: What are the prime factors of the number 10,405,066?

 A: 2, 7, 37, 53, 379

Why are those the prime factors of the number 10,405,066?

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 10,405,066

10,405,066
Factor Arrows
25,202,533
Factor Arrows
7743,219
Factor Arrows
3720,087
Factor Arrows
53379

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, 37, 53, 379

We can check our work by multiplying all of the prime factors together: 2 x 7 x 37 x 53 x 379 = 10,405,066

This can also be written as 21 x 71 x 371 x 531 x 3791 = 10,405,066

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


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