Q: What are the prime factors of the number 62,001,784?

 A: 2, 13, 139, 4289

Why are those the prime factors of the number 62,001,784?

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 62,001,784

62,001,784
Factor Arrows
231,000,892
Factor Arrows
215,500,446
Factor Arrows
27,750,223
Factor Arrows
13596,171
Factor Arrows
1394,289

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, 13, 139, 4289

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 139 x 4,289 = 62,001,784

This can also be written as 23 x 131 x 1391 x 4,2891 = 62,001,784

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


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