Q: What are the prime factors of the number 255,041,633?

 A: 7, 11, 17, 73, 157

Why are those the prime factors of the number 255,041,633?

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 255,041,633

255,041,633
Factor Arrows
736,434,519
Factor Arrows
113,312,229
Factor Arrows
17194,837
Factor Arrows
1711,461
Factor Arrows
73157

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:

7, 11, 17, 73, 157

We can check our work by multiplying all of the prime factors together: 7 x 11 x 17 x 17 x 73 x 157 = 255,041,633

This can also be written as 71 x 111 x 172 x 731 x 1571 = 255,041,633

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


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