Q: What are the prime factors of the number 232,450,155?

 A: 3, 5, 7, 151, 181

Why are those the prime factors of the number 232,450,155?

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 232,450,155

232,450,155
Factor Arrows
377,483,385
Factor Arrows
325,827,795
Factor Arrows
38,609,265
Factor Arrows
32,869,755
Factor Arrows
3956,585
Factor Arrows
5191,317
Factor Arrows
727,331
Factor Arrows
151181

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, 5, 7, 151, 181

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 5 x 7 x 151 x 181 = 232,450,155

This can also be written as 35 x 51 x 71 x 1511 x 1811 = 232,450,155

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


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