Q: What are the prime factors of the number 423,717,556?

 A: 2, 19, 373, 14947

Why are those the prime factors of the number 423,717,556?

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 423,717,556

423,717,556
Factor Arrows
2211,858,778
Factor Arrows
2105,929,389
Factor Arrows
195,575,231
Factor Arrows
37314,947

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, 19, 373, 14947

We can check our work by multiplying all of the prime factors together: 2 x 2 x 19 x 373 x 14,947 = 423,717,556

This can also be written as 22 x 191 x 3731 x 14,9471 = 423,717,556

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


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