Q: What are the prime factors of the number 141,024,051?

 A: 3, 7, 41, 18199

Why are those the prime factors of the number 141,024,051?

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 141,024,051

141,024,051
Factor Arrows
347,008,017
Factor Arrows
315,669,339
Factor Arrows
35,223,113
Factor Arrows
7746,159
Factor Arrows
4118,199

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:

3, 7, 41, 18199

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 41 x 18,199 = 141,024,051

This can also be written as 33 x 71 x 411 x 18,1991 = 141,024,051

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


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