Q: What are the prime factors of the number 246,505,020?

 A: 2, 3, 5, 83, 49499

Why are those the prime factors of the number 246,505,020?

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 246,505,020

246,505,020
Factor Arrows
2123,252,510
Factor Arrows
261,626,255
Factor Arrows
320,542,085
Factor Arrows
54,108,417
Factor Arrows
8349,499

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, 5, 83, 49499

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 83 x 49,499 = 246,505,020

This can also be written as 22 x 31 x 51 x 831 x 49,4991 = 246,505,020

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


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