Q: What are the prime factors of the number 62,537,354?

 A: 2, 11, 31, 47, 1951

Why are those the prime factors of the number 62,537,354?

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 62,537,354

62,537,354
Factor Arrows
231,268,677
Factor Arrows
112,842,607
Factor Arrows
3191,697
Factor Arrows
471,951

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, 11, 31, 47, 1951

We can check our work by multiplying all of the prime factors together: 2 x 11 x 31 x 47 x 1,951 = 62,537,354

This can also be written as 21 x 111 x 311 x 471 x 1,9511 = 62,537,354

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


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