Q: What are the prime factors of the number 242,133,244?

 A: 2, 17, 83, 42901

Why are those the prime factors of the number 242,133,244?

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 242,133,244

242,133,244
Factor Arrows
2121,066,622
Factor Arrows
260,533,311
Factor Arrows
173,560,783
Factor Arrows
8342,901

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, 17, 83, 42901

We can check our work by multiplying all of the prime factors together: 2 x 2 x 17 x 83 x 42,901 = 242,133,244

This can also be written as 22 x 171 x 831 x 42,9011 = 242,133,244

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


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