Q: What are the prime factors of the number 1,273,671?

 A: 3, 7, 23, 293

Why are those the prime factors of the number 1,273,671?

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 1,273,671

1,273,671
Factor Arrows
3424,557
Factor Arrows
3141,519
Factor Arrows
347,173
Factor Arrows
76,739
Factor Arrows
23293

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:

3, 7, 23, 293

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 23 x 293 = 1,273,671

This can also be written as 33 x 71 x 231 x 2931 = 1,273,671

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


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