Q: What are the prime factors of the number 273,116,304?

 A: 2, 3, 97, 19553

Why are those the prime factors of the number 273,116,304?

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 273,116,304

273,116,304
Factor Arrows
2136,558,152
Factor Arrows
268,279,076
Factor Arrows
234,139,538
Factor Arrows
217,069,769
Factor Arrows
35,689,923
Factor Arrows
31,896,641
Factor Arrows
9719,553

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, 97, 19553

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 97 x 19,553 = 273,116,304

This can also be written as 24 x 32 x 971 x 19,5531 = 273,116,304

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


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