Q: What are the prime factors of the number 5,447,544?

 A: 2, 3, 61

Why are those the prime factors of the number 5,447,544?

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 5,447,544

5,447,544
Factor Arrows
22,723,772
Factor Arrows
21,361,886
Factor Arrows
2680,943
Factor Arrows
3226,981
Factor Arrows
613,721
Factor Arrows
6161

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, 61

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 61 x 61 x 61 = 5,447,544

This can also be written as 23 x 31 x 613 = 5,447,544

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


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