Q: What are the prime factors of the number 203,240,430?

 A: 2, 3, 5, 2258227

Why are those the prime factors of the number 203,240,430?

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 203,240,430

203,240,430
Factor Arrows
2101,620,215
Factor Arrows
333,873,405
Factor Arrows
311,291,135
Factor Arrows
52,258,227

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, 5, 2258227

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 2,258,227 = 203,240,430

This can also be written as 21 x 32 x 51 x 2,258,2271 = 203,240,430

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


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