Q: What are the prime factors of the number 5,184,756?

 A: 2, 3, 61, 787

Why are those the prime factors of the number 5,184,756?

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 5,184,756

5,184,756
Factor Arrows
22,592,378
Factor Arrows
21,296,189
Factor Arrows
3432,063
Factor Arrows
3144,021
Factor Arrows
348,007
Factor Arrows
61787

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, 787

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 61 x 787 = 5,184,756

This can also be written as 22 x 33 x 611 x 7871 = 5,184,756

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


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