Q: What are the prime factors of the number 1,788,255?

 A: 3, 5, 7, 811

Why are those the prime factors of the number 1,788,255?

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 1,788,255

1,788,255
Factor Arrows
3596,085
Factor Arrows
3198,695
Factor Arrows
539,739
Factor Arrows
75,677
Factor Arrows
7811

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, 5, 7, 811

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 7 x 7 x 811 = 1,788,255

This can also be written as 32 x 51 x 72 x 8111 = 1,788,255

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


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