Q: What are the prime factors of the number 62,671,360?

 A: 2, 5, 24481

Why are those the prime factors of the number 62,671,360?

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 62,671,360

62,671,360
Factor Arrows
231,335,680
Factor Arrows
215,667,840
Factor Arrows
27,833,920
Factor Arrows
23,916,960
Factor Arrows
21,958,480
Factor Arrows
2979,240
Factor Arrows
2489,620
Factor Arrows
2244,810
Factor Arrows
2122,405
Factor Arrows
524,481

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, 24481

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 2 x 2 x 5 x 24,481 = 62,671,360

This can also be written as 29 x 51 x 24,4811 = 62,671,360

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


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