Q: What are the prime factors of the number 173,471,246?

 A: 2, 13, 41, 162731

Why are those the prime factors of the number 173,471,246?

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 173,471,246

173,471,246
Factor Arrows
286,735,623
Factor Arrows
136,671,971
Factor Arrows
41162,731

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, 13, 41, 162731

We can check our work by multiplying all of the prime factors together: 2 x 13 x 41 x 162,731 = 173,471,246

This can also be written as 21 x 131 x 411 x 162,7311 = 173,471,246

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


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