Q: What are the prime factors of the number 273,571,720?

 A: 2, 5, 67, 102079

Why are those the prime factors of the number 273,571,720?

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 273,571,720

273,571,720
Factor Arrows
2136,785,860
Factor Arrows
268,392,930
Factor Arrows
234,196,465
Factor Arrows
56,839,293
Factor Arrows
67102,079

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, 5, 67, 102079

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 67 x 102,079 = 273,571,720

This can also be written as 23 x 51 x 671 x 102,0791 = 273,571,720

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


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