Q: What are the prime factors of the number 5,705,244?

 A: 2, 3, 19, 439

Why are those the prime factors of the number 5,705,244?

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 5,705,244

5,705,244
Factor Arrows
22,852,622
Factor Arrows
21,426,311
Factor Arrows
3475,437
Factor Arrows
3158,479
Factor Arrows
198,341
Factor Arrows
19439

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, 19, 439

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 19 x 19 x 439 = 5,705,244

This can also be written as 22 x 32 x 192 x 4391 = 5,705,244

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


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