Q: What are the prime factors of the number 68,281,746?

 A: 2, 3, 13, 67339

Why are those the prime factors of the number 68,281,746?

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 68,281,746

68,281,746
Factor Arrows
234,140,873
Factor Arrows
311,380,291
Factor Arrows
13875,407
Factor Arrows
1367,339

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, 13, 67339

We can check our work by multiplying all of the prime factors together: 2 x 3 x 13 x 13 x 67,339 = 68,281,746

This can also be written as 21 x 31 x 132 x 67,3391 = 68,281,746

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


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