Q: What are the prime factors of the number 30,335,544?

 A: 2, 3, 61, 6907

Why are those the prime factors of the number 30,335,544?

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 30,335,544

30,335,544
Factor Arrows
215,167,772
Factor Arrows
27,583,886
Factor Arrows
23,791,943
Factor Arrows
31,263,981
Factor Arrows
3421,327
Factor Arrows
616,907

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, 6907

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 61 x 6,907 = 30,335,544

This can also be written as 23 x 32 x 611 x 6,9071 = 30,335,544

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


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