Q: What are the prime factors of the number 242,133,104?

 A: 2, 79, 191561

Why are those the prime factors of the number 242,133,104?

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 242,133,104

242,133,104
Factor Arrows
2121,066,552
Factor Arrows
260,533,276
Factor Arrows
230,266,638
Factor Arrows
215,133,319
Factor Arrows
79191,561

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, 79, 191561

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 79 x 191,561 = 242,133,104

This can also be written as 24 x 791 x 191,5611 = 242,133,104

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


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