Q: What are the prime factors of the number 114,211,242?

 A: 2, 3, 19, 111317

Why are those the prime factors of the number 114,211,242?

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 114,211,242

114,211,242
Factor Arrows
257,105,621
Factor Arrows
319,035,207
Factor Arrows
36,345,069
Factor Arrows
32,115,023
Factor Arrows
19111,317

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, 19, 111317

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 19 x 111,317 = 114,211,242

This can also be written as 21 x 33 x 191 x 111,3171 = 114,211,242

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


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