Q: What are the prime factors of the number 19,544,247?

 A: 3, 80429

Why are those the prime factors of the number 19,544,247?

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 19,544,247

19,544,247
Factor Arrows
36,514,749
Factor Arrows
32,171,583
Factor Arrows
3723,861
Factor Arrows
3241,287
Factor Arrows
380,429

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, 80429

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 80,429 = 19,544,247

This can also be written as 35 x 80,4291 = 19,544,247

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


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