Q: What are the prime factors of the number 64,041,918?

 A: 2, 3, 29, 41, 47, 191

Why are those the prime factors of the number 64,041,918?

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 64,041,918

64,041,918
Factor Arrows
232,020,959
Factor Arrows
310,673,653
Factor Arrows
29368,057
Factor Arrows
418,977
Factor Arrows
47191

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, 3, 29, 41, 47, 191

We can check our work by multiplying all of the prime factors together: 2 x 3 x 29 x 41 x 47 x 191 = 64,041,918

This can also be written as 21 x 31 x 291 x 411 x 471 x 1911 = 64,041,918

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


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