Q: What are the prime factors of the number 1,804,824?

 A: 2, 3, 7, 3581

Why are those the prime factors of the number 1,804,824?

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 1,804,824

1,804,824
Factor Arrows
2902,412
Factor Arrows
2451,206
Factor Arrows
2225,603
Factor Arrows
375,201
Factor Arrows
325,067
Factor Arrows
73,581

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, 7, 3581

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 7 x 3,581 = 1,804,824

This can also be written as 23 x 32 x 71 x 3,5811 = 1,804,824

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


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