Q: What are the prime factors of the number 19,623,926?

 A: 2, 7, 229, 6121

Why are those the prime factors of the number 19,623,926?

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 19,623,926

19,623,926
Factor Arrows
29,811,963
Factor Arrows
71,401,709
Factor Arrows
2296,121

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, 7, 229, 6121

We can check our work by multiplying all of the prime factors together: 2 x 7 x 229 x 6,121 = 19,623,926

This can also be written as 21 x 71 x 2291 x 6,1211 = 19,623,926

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


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