Q: What are the prime factors of the number 141,334,120?

 A: 2, 5, 43, 82171

Why are those the prime factors of the number 141,334,120?

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 141,334,120

141,334,120
Factor Arrows
270,667,060
Factor Arrows
235,333,530
Factor Arrows
217,666,765
Factor Arrows
53,533,353
Factor Arrows
4382,171

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, 5, 43, 82171

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 43 x 82,171 = 141,334,120

This can also be written as 23 x 51 x 431 x 82,1711 = 141,334,120

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


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