Q: What are the prime factors of the number 273,024?

 A: 2, 3, 79

Why are those the prime factors of the number 273,024?

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 273,024

273,024
Factor Arrows
2136,512
Factor Arrows
268,256
Factor Arrows
234,128
Factor Arrows
217,064
Factor Arrows
28,532
Factor Arrows
24,266
Factor Arrows
22,133
Factor Arrows
3711
Factor Arrows
3237
Factor Arrows
379

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, 79

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 79 = 273,024

This can also be written as 27 x 33 x 791 = 273,024

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


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