Q: What are the prime factors of the number 433,404,144?

 A: 2, 3, 3009751

Why are those the prime factors of the number 433,404,144?

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 433,404,144

433,404,144
Factor Arrows
2216,702,072
Factor Arrows
2108,351,036
Factor Arrows
254,175,518
Factor Arrows
227,087,759
Factor Arrows
39,029,253
Factor Arrows
33,009,751

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, 3009751

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3,009,751 = 433,404,144

This can also be written as 24 x 32 x 3,009,7511 = 433,404,144

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


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