Q: What are the prime factors of the number 273,077,652?

 A: 2, 3, 19, 1197709

Why are those the prime factors of the number 273,077,652?

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 273,077,652

273,077,652
Factor Arrows
2136,538,826
Factor Arrows
268,269,413
Factor Arrows
322,756,471
Factor Arrows
191,197,709

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, 19, 1197709

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 19 x 1,197,709 = 273,077,652

This can also be written as 22 x 31 x 191 x 1,197,7091 = 273,077,652

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


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