Q: What are the prime factors of the number 114,042,432?

 A: 2, 3, 7, 53, 1601

Why are those the prime factors of the number 114,042,432?

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 114,042,432

114,042,432
Factor Arrows
257,021,216
Factor Arrows
228,510,608
Factor Arrows
214,255,304
Factor Arrows
27,127,652
Factor Arrows
23,563,826
Factor Arrows
21,781,913
Factor Arrows
3593,971
Factor Arrows
784,853
Factor Arrows
531,601

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, 53, 1601

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 3 x 7 x 53 x 1,601 = 114,042,432

This can also be written as 26 x 31 x 71 x 531 x 1,6011 = 114,042,432

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


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