Q: What are the prime factors of the number 6,134,824?

 A: 2, 17, 79, 571

Why are those the prime factors of the number 6,134,824?

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 6,134,824

6,134,824
Factor Arrows
23,067,412
Factor Arrows
21,533,706
Factor Arrows
2766,853
Factor Arrows
1745,109
Factor Arrows
79571

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, 17, 79, 571

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 79 x 571 = 6,134,824

This can also be written as 23 x 171 x 791 x 5711 = 6,134,824

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


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