Q: What are the prime factors of the number 10,032,012?

 A: 2, 3, 10321

Why are those the prime factors of the number 10,032,012?

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 10,032,012

10,032,012
Factor Arrows
25,016,006
Factor Arrows
22,508,003
Factor Arrows
3836,001
Factor Arrows
3278,667
Factor Arrows
392,889
Factor Arrows
330,963
Factor Arrows
310,321

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, 10321

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 3 x 10,321 = 10,032,012

This can also be written as 22 x 35 x 10,3211 = 10,032,012

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


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