Q: What are the prime factors of the number 63,621,012?

 A: 2, 3, 7, 13, 29, 41

Why are those the prime factors of the number 63,621,012?

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 63,621,012

63,621,012
Factor Arrows
231,810,506
Factor Arrows
215,905,253
Factor Arrows
35,301,751
Factor Arrows
7757,393
Factor Arrows
7108,199
Factor Arrows
715,457
Factor Arrows
131,189
Factor Arrows
2941

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, 13, 29, 41

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 7 x 7 x 13 x 29 x 41 = 63,621,012

This can also be written as 22 x 31 x 73 x 131 x 291 x 411 = 63,621,012

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


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