Q: What are the prime factors of the number 643,468?

 A: 2, 7, 67

Why are those the prime factors of the number 643,468?

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 643,468

643,468
Factor Arrows
2321,734
Factor Arrows
2160,867
Factor Arrows
722,981
Factor Arrows
73,283
Factor Arrows
7469
Factor Arrows
767

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, 7, 67

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 7 x 7 x 67 = 643,468

This can also be written as 22 x 74 x 671 = 643,468

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


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