Q: What are the prime factors of the number 62,450,720?

 A: 2, 5, 19, 20543

Why are those the prime factors of the number 62,450,720?

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 62,450,720

62,450,720
Factor Arrows
231,225,360
Factor Arrows
215,612,680
Factor Arrows
27,806,340
Factor Arrows
23,903,170
Factor Arrows
21,951,585
Factor Arrows
5390,317
Factor Arrows
1920,543

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, 19, 20543

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 19 x 20,543 = 62,450,720

This can also be written as 25 x 51 x 191 x 20,5431 = 62,450,720

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


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