Q: What are the prime factors of the number 234,650,754?

 A: 2, 3, 13, 77137

Why are those the prime factors of the number 234,650,754?

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 234,650,754

234,650,754
Factor Arrows
2117,325,377
Factor Arrows
339,108,459
Factor Arrows
313,036,153
Factor Arrows
131,002,781
Factor Arrows
1377,137

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, 77137

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 13 x 13 x 77,137 = 234,650,754

This can also be written as 21 x 32 x 132 x 77,1371 = 234,650,754

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


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