Q: What are the prime factors of the number 68,455,287?

 A: 3, 113, 277

Why are those the prime factors of the number 68,455,287?

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 68,455,287

68,455,287
Factor Arrows
322,818,429
Factor Arrows
37,606,143
Factor Arrows
32,535,381
Factor Arrows
3845,127
Factor Arrows
3281,709
Factor Arrows
393,903
Factor Arrows
331,301
Factor Arrows
113277

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:

3, 113, 277

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 3 x 113 x 277 = 68,455,287

This can also be written as 37 x 1131 x 2771 = 68,455,287

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


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