Q: What are the prime factors of the number 64,260,350?

 A: 2, 5, 7, 11, 16691

Why are those the prime factors of the number 64,260,350?

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 64,260,350

64,260,350
Factor Arrows
232,130,175
Factor Arrows
56,426,035
Factor Arrows
51,285,207
Factor Arrows
7183,601
Factor Arrows
1116,691

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, 7, 11, 16691

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 7 x 11 x 16,691 = 64,260,350

This can also be written as 21 x 52 x 71 x 111 x 16,6911 = 64,260,350

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


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