Q: What are the prime factors of the number 640,188?

 A: 2, 3, 17783

Why are those the prime factors of the number 640,188?

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 640,188

640,188
Factor Arrows
2320,094
Factor Arrows
2160,047
Factor Arrows
353,349
Factor Arrows
317,783

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, 17783

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 17,783 = 640,188

This can also be written as 22 x 32 x 17,7831 = 640,188

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


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