Q: What are the prime factors of the number 146,867,696?

 A: 2, 23, 399097

Why are those the prime factors of the number 146,867,696?

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 146,867,696

146,867,696
Factor Arrows
273,433,848
Factor Arrows
236,716,924
Factor Arrows
218,358,462
Factor Arrows
29,179,231
Factor Arrows
23399,097

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, 23, 399097

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 23 x 399,097 = 146,867,696

This can also be written as 24 x 231 x 399,0971 = 146,867,696

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


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