Q: What are the prime factors of the number 61,983,945?

 A: 3, 5, 1377421

Why are those the prime factors of the number 61,983,945?

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 61,983,945

61,983,945
Factor Arrows
320,661,315
Factor Arrows
36,887,105
Factor Arrows
51,377,421

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, 1377421

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 1,377,421 = 61,983,945

This can also be written as 32 x 51 x 1,377,4211 = 61,983,945

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


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