Q: What are the prime factors of the number 19,556,873?

 A: 7, 43, 1511

Why are those the prime factors of the number 19,556,873?

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 19,556,873

19,556,873
Factor Arrows
72,793,839
Factor Arrows
4364,973
Factor Arrows
431,511

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:

7, 43, 1511

We can check our work by multiplying all of the prime factors together: 7 x 43 x 43 x 1,511 = 19,556,873

This can also be written as 71 x 432 x 1,5111 = 19,556,873

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


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