Q: What are the prime factors of the number 19,200,726?

 A: 2, 3, 29, 61, 67

Why are those the prime factors of the number 19,200,726?

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 19,200,726

19,200,726
Factor Arrows
29,600,363
Factor Arrows
33,200,121
Factor Arrows
31,066,707
Factor Arrows
3355,569
Factor Arrows
3118,523
Factor Arrows
294,087
Factor Arrows
6167

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, 3, 29, 61, 67

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 29 x 61 x 67 = 19,200,726

This can also be written as 21 x 34 x 291 x 611 x 671 = 19,200,726

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


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