Q: What are the prime factors of the number 60,206,265?

 A: 3, 5, 7, 17, 11243

Why are those the prime factors of the number 60,206,265?

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 60,206,265

60,206,265
Factor Arrows
320,068,755
Factor Arrows
36,689,585
Factor Arrows
51,337,917
Factor Arrows
7191,131
Factor Arrows
1711,243

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, 17, 11243

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 7 x 17 x 11,243 = 60,206,265

This can also be written as 32 x 51 x 71 x 171 x 11,2431 = 60,206,265

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


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