Q: What are the prime factors of the number 761,354,112?

 A: 2, 3, 17, 223, 523

Why are those the prime factors of the number 761,354,112?

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 761,354,112

761,354,112
Factor Arrows
2380,677,056
Factor Arrows
2190,338,528
Factor Arrows
295,169,264
Factor Arrows
247,584,632
Factor Arrows
223,792,316
Factor Arrows
211,896,158
Factor Arrows
25,948,079
Factor Arrows
31,982,693
Factor Arrows
17116,629
Factor Arrows
223523

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, 17, 223, 523

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 223 x 523 = 761,354,112

This can also be written as 27 x 31 x 171 x 2231 x 5231 = 761,354,112

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


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