Q: What are the prime factors of the number 141,034,446?

 A: 2, 3, 7, 109, 163

Why are those the prime factors of the number 141,034,446?

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 141,034,446

141,034,446
Factor Arrows
270,517,223
Factor Arrows
323,505,741
Factor Arrows
37,835,247
Factor Arrows
32,611,749
Factor Arrows
3870,583
Factor Arrows
7124,369
Factor Arrows
717,767
Factor Arrows
109163

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, 109, 163

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 7 x 7 x 109 x 163 = 141,034,446

This can also be written as 21 x 34 x 72 x 1091 x 1631 = 141,034,446

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


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