Q: What are the prime factors of the number 242,535,440?

 A: 2, 5, 7, 433099

Why are those the prime factors of the number 242,535,440?

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 242,535,440

242,535,440
Factor Arrows
2121,267,720
Factor Arrows
260,633,860
Factor Arrows
230,316,930
Factor Arrows
215,158,465
Factor Arrows
53,031,693
Factor Arrows
7433,099

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, 5, 7, 433099

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 7 x 433,099 = 242,535,440

This can also be written as 24 x 51 x 71 x 433,0991 = 242,535,440

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


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