Q: What are the prime factors of the number 19,113,134?

 A: 2, 17, 41, 13711

Why are those the prime factors of the number 19,113,134?

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 19,113,134

19,113,134
Factor Arrows
29,556,567
Factor Arrows
17562,151
Factor Arrows
4113,711

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, 17, 41, 13711

We can check our work by multiplying all of the prime factors together: 2 x 17 x 41 x 13,711 = 19,113,134

This can also be written as 21 x 171 x 411 x 13,7111 = 19,113,134

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


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