Q: What are the prime factors of the number 272,781,420?

 A: 2, 3, 5, 47, 96731

Why are those the prime factors of the number 272,781,420?

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 272,781,420

272,781,420
Factor Arrows
2136,390,710
Factor Arrows
268,195,355
Factor Arrows
322,731,785
Factor Arrows
54,546,357
Factor Arrows
4796,731

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, 47, 96731

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 47 x 96,731 = 272,781,420

This can also be written as 22 x 31 x 51 x 471 x 96,7311 = 272,781,420

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


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