Q: What are the prime factors of the number 62,871,680?

 A: 2, 5, 193, 509

Why are those the prime factors of the number 62,871,680?

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 62,871,680

62,871,680
Factor Arrows
231,435,840
Factor Arrows
215,717,920
Factor Arrows
27,858,960
Factor Arrows
23,929,480
Factor Arrows
21,964,740
Factor Arrows
2982,370
Factor Arrows
2491,185
Factor Arrows
598,237
Factor Arrows
193509

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, 5, 193, 509

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 193 x 509 = 62,871,680

This can also be written as 27 x 51 x 1931 x 5091 = 62,871,680

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


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