Q: What are the prime factors of the number 121,712,262?

 A: 2, 3, 7, 31, 93481

Why are those the prime factors of the number 121,712,262?

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 121,712,262

121,712,262
Factor Arrows
260,856,131
Factor Arrows
320,285,377
Factor Arrows
72,897,911
Factor Arrows
3193,481

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, 93481

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 31 x 93,481 = 121,712,262

This can also be written as 21 x 31 x 71 x 311 x 93,4811 = 121,712,262

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


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