Q: What are the prime factors of the number 255,405,528?

 A: 2, 3, 7, 31, 5449

Why are those the prime factors of the number 255,405,528?

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 255,405,528

255,405,528
Factor Arrows
2127,702,764
Factor Arrows
263,851,382
Factor Arrows
231,925,691
Factor Arrows
310,641,897
Factor Arrows
33,547,299
Factor Arrows
31,182,433
Factor Arrows
7168,919
Factor Arrows
315,449

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, 7, 31, 5449

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 7 x 31 x 5,449 = 255,405,528

This can also be written as 23 x 33 x 71 x 311 x 5,4491 = 255,405,528

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


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