Q: What are the prime factors of the number 641,430?

 A: 2, 3, 5, 7127

Why are those the prime factors of the number 641,430?

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 641,430

641,430
Factor Arrows
2320,715
Factor Arrows
3106,905
Factor Arrows
335,635
Factor Arrows
57,127

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, 3, 5, 7127

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 7,127 = 641,430

This can also be written as 21 x 32 x 51 x 7,1271 = 641,430

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


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