Q: What are the prime factors of the number 5,133,534?

 A: 2, 3, 7, 19, 919

Why are those the prime factors of the number 5,133,534?

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 5,133,534

5,133,534
Factor Arrows
22,566,767
Factor Arrows
3855,589
Factor Arrows
7122,227
Factor Arrows
717,461
Factor Arrows
19919

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, 7, 19, 919

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 7 x 19 x 919 = 5,133,534

This can also be written as 21 x 31 x 72 x 191 x 9191 = 5,133,534

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


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