Q: What are the prime factors of the number 533,504,112?

 A: 2, 3, 11114669

Why are those the prime factors of the number 533,504,112?

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 533,504,112

533,504,112
Factor Arrows
2266,752,056
Factor Arrows
2133,376,028
Factor Arrows
266,688,014
Factor Arrows
233,344,007
Factor Arrows
311,114,669

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, 11114669

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 11,114,669 = 533,504,112

This can also be written as 24 x 31 x 11,114,6691 = 533,504,112

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


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