Q: What are the prime factors of the number 19,033,047?

 A: 3, 11, 17, 43, 263

Why are those the prime factors of the number 19,033,047?

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 19,033,047

19,033,047
Factor Arrows
36,344,349
Factor Arrows
32,114,783
Factor Arrows
11192,253
Factor Arrows
1711,309
Factor Arrows
43263

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, 11, 17, 43, 263

We can check our work by multiplying all of the prime factors together: 3 x 3 x 11 x 17 x 43 x 263 = 19,033,047

This can also be written as 32 x 111 x 171 x 431 x 2631 = 19,033,047

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


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