Q: What are the prime factors of the number 1,804,761?

 A: 3, 7, 1061

Why are those the prime factors of the number 1,804,761?

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 1,804,761

1,804,761
Factor Arrows
3601,587
Factor Arrows
3200,529
Factor Arrows
366,843
Factor Arrows
322,281
Factor Arrows
37,427
Factor Arrows
71,061

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, 1061

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 7 x 1,061 = 1,804,761

This can also be written as 35 x 71 x 1,0611 = 1,804,761

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


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