Q: What are the prime factors of the number 114,324,145?

 A: 5, 13, 23, 76471

Why are those the prime factors of the number 114,324,145?

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 114,324,145

114,324,145
Factor Arrows
522,864,829
Factor Arrows
131,758,833
Factor Arrows
2376,471

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:

5, 13, 23, 76471

We can check our work by multiplying all of the prime factors together: 5 x 13 x 23 x 76,471 = 114,324,145

This can also be written as 51 x 131 x 231 x 76,4711 = 114,324,145

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


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