Q: What are the prime factors of the number 68,246,425?

 A: 5, 13, 29, 557

Why are those the prime factors of the number 68,246,425?

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 68,246,425

68,246,425
Factor Arrows
513,649,285
Factor Arrows
52,729,857
Factor Arrows
13209,989
Factor Arrows
1316,153
Factor Arrows
29557

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, 13, 29, 557

We can check our work by multiplying all of the prime factors together: 5 x 5 x 13 x 13 x 29 x 557 = 68,246,425

This can also be written as 52 x 132 x 291 x 5571 = 68,246,425

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


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