Q: What are the prime factors of the number 19,526,955?

 A: 3, 5, 7, 185971

Why are those the prime factors of the number 19,526,955?

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 19,526,955

19,526,955
Factor Arrows
36,508,985
Factor Arrows
51,301,797
Factor Arrows
7185,971

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:

3, 5, 7, 185971

We can check our work by multiplying all of the prime factors together: 3 x 5 x 7 x 185,971 = 19,526,955

This can also be written as 31 x 51 x 71 x 185,9711 = 19,526,955

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


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