Q: What are the prime factors of the number 166,942,629?

 A: 3, 7, 883, 3001

Why are those the prime factors of the number 166,942,629?

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 166,942,629

166,942,629
Factor Arrows
355,647,543
Factor Arrows
318,549,181
Factor Arrows
72,649,883
Factor Arrows
8833,001

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, 7, 883, 3001

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 883 x 3,001 = 166,942,629

This can also be written as 32 x 71 x 8831 x 3,0011 = 166,942,629

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


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