Q: What are the prime factors of the number 1,832,464?

 A: 2, 17, 6737

Why are those the prime factors of the number 1,832,464?

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 1,832,464

1,832,464
Factor Arrows
2916,232
Factor Arrows
2458,116
Factor Arrows
2229,058
Factor Arrows
2114,529
Factor Arrows
176,737

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, 17, 6737

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 17 x 6,737 = 1,832,464

This can also be written as 24 x 171 x 6,7371 = 1,832,464

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


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