Q: What are the prime factors of the number 254,431,413?

 A: 3, 19, 29, 51307

Why are those the prime factors of the number 254,431,413?

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 254,431,413

254,431,413
Factor Arrows
384,810,471
Factor Arrows
328,270,157
Factor Arrows
191,487,903
Factor Arrows
2951,307

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:

3, 19, 29, 51307

We can check our work by multiplying all of the prime factors together: 3 x 3 x 19 x 29 x 51,307 = 254,431,413

This can also be written as 32 x 191 x 291 x 51,3071 = 254,431,413

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


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