Q: What are the prime factors of the number 1,882,521?

 A: 3, 61, 127

Why are those the prime factors of the number 1,882,521?

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 1,882,521

1,882,521
Factor Arrows
3627,507
Factor Arrows
3209,169
Factor Arrows
369,723
Factor Arrows
323,241
Factor Arrows
37,747
Factor Arrows
61127

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, 61, 127

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 61 x 127 = 1,882,521

This can also be written as 35 x 611 x 1271 = 1,882,521

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


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