Q: What are the prime factors of the number 643,621,540?

 A: 2, 5, 1327, 24251

Why are those the prime factors of the number 643,621,540?

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 643,621,540

643,621,540
Factor Arrows
2321,810,770
Factor Arrows
2160,905,385
Factor Arrows
532,181,077
Factor Arrows
1,32724,251

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, 1327, 24251

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 1,327 x 24,251 = 643,621,540

This can also be written as 22 x 51 x 1,3271 x 24,2511 = 643,621,540

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


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