Q: What are the prime factors of the number 114,444,642?

 A: 2, 3, 13, 23, 63793

Why are those the prime factors of the number 114,444,642?

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 114,444,642

114,444,642
Factor Arrows
257,222,321
Factor Arrows
319,074,107
Factor Arrows
131,467,239
Factor Arrows
2363,793

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, 13, 23, 63793

We can check our work by multiplying all of the prime factors together: 2 x 3 x 13 x 23 x 63,793 = 114,444,642

This can also be written as 21 x 31 x 131 x 231 x 63,7931 = 114,444,642

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


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