Q: What are the prime factors of the number 10,051,062?

 A: 2, 3, 7, 167, 1433

Why are those the prime factors of the number 10,051,062?

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 10,051,062

10,051,062
Factor Arrows
25,025,531
Factor Arrows
31,675,177
Factor Arrows
7239,311
Factor Arrows
1671,433

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, 7, 167, 1433

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 167 x 1,433 = 10,051,062

This can also be written as 21 x 31 x 71 x 1671 x 1,4331 = 10,051,062

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


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