Q: What are the prime factors of the number 254,518,434?

 A: 2, 3, 14139913

Why are those the prime factors of the number 254,518,434?

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 254,518,434

254,518,434
Factor Arrows
2127,259,217
Factor Arrows
342,419,739
Factor Arrows
314,139,913

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, 14139913

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 14,139,913 = 254,518,434

This can also be written as 21 x 32 x 14,139,9131 = 254,518,434

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


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