Q: What are the prime factors of the number 5,940,768?

 A: 2, 3, 19, 3257

Why are those the prime factors of the number 5,940,768?

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 5,940,768

5,940,768
Factor Arrows
22,970,384
Factor Arrows
21,485,192
Factor Arrows
2742,596
Factor Arrows
2371,298
Factor Arrows
2185,649
Factor Arrows
361,883
Factor Arrows
193,257

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, 3257

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 19 x 3,257 = 5,940,768

This can also be written as 25 x 31 x 191 x 3,2571 = 5,940,768

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


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