Q: What are the prime factors of the number 643,040?

 A: 2, 5, 4019

Why are those the prime factors of the number 643,040?

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 643,040

643,040
Factor Arrows
2321,520
Factor Arrows
2160,760
Factor Arrows
280,380
Factor Arrows
240,190
Factor Arrows
220,095
Factor Arrows
54,019

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, 5, 4019

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 4,019 = 643,040

This can also be written as 25 x 51 x 4,0191 = 643,040

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


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