Q: What are the prime factors of the number 42,794,385?

 A: 3, 5, 37, 83, 929

Why are those the prime factors of the number 42,794,385?

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 42,794,385

42,794,385
Factor Arrows
314,264,795
Factor Arrows
52,852,959
Factor Arrows
3777,107
Factor Arrows
83929

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, 5, 37, 83, 929

We can check our work by multiplying all of the prime factors together: 3 x 5 x 37 x 83 x 929 = 42,794,385

This can also be written as 31 x 51 x 371 x 831 x 9291 = 42,794,385

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


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