Q: What are the prime factors of the number 68,355,575?

 A: 5, 257, 10639

Why are those the prime factors of the number 68,355,575?

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 68,355,575

68,355,575
Factor Arrows
513,671,115
Factor Arrows
52,734,223
Factor Arrows
25710,639

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:

5, 257, 10639

We can check our work by multiplying all of the prime factors together: 5 x 5 x 257 x 10,639 = 68,355,575

This can also be written as 52 x 2571 x 10,6391 = 68,355,575

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


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