Q: What are the prime factors of the number 64,310,136?

 A: 2, 3, 11, 19, 12821

Why are those the prime factors of the number 64,310,136?

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 64,310,136

64,310,136
Factor Arrows
232,155,068
Factor Arrows
216,077,534
Factor Arrows
28,038,767
Factor Arrows
32,679,589
Factor Arrows
11243,599
Factor Arrows
1912,821

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, 11, 19, 12821

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 11 x 19 x 12,821 = 64,310,136

This can also be written as 23 x 31 x 111 x 191 x 12,8211 = 64,310,136

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


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