Q: What are the prime factors of the number 62,128,822?

 A: 2, 7, 19, 647

Why are those the prime factors of the number 62,128,822?

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 62,128,822

62,128,822
Factor Arrows
231,064,411
Factor Arrows
74,437,773
Factor Arrows
19233,567
Factor Arrows
1912,293
Factor Arrows
19647

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, 19, 647

We can check our work by multiplying all of the prime factors together: 2 x 7 x 19 x 19 x 19 x 647 = 62,128,822

This can also be written as 21 x 71 x 193 x 6471 = 62,128,822

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


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