Q: What are the prime factors of the number 245,172,162?

 A: 2, 3, 19, 67, 32099

Why are those the prime factors of the number 245,172,162?

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 245,172,162

245,172,162
Factor Arrows
2122,586,081
Factor Arrows
340,862,027
Factor Arrows
192,150,633
Factor Arrows
6732,099

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, 19, 67, 32099

We can check our work by multiplying all of the prime factors together: 2 x 3 x 19 x 67 x 32,099 = 245,172,162

This can also be written as 21 x 31 x 191 x 671 x 32,0991 = 245,172,162

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


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