Q: What are the prime factors of the number 60,337,629?

 A: 3, 11, 22573

Why are those the prime factors of the number 60,337,629?

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 60,337,629

60,337,629
Factor Arrows
320,112,543
Factor Arrows
36,704,181
Factor Arrows
32,234,727
Factor Arrows
3744,909
Factor Arrows
3248,303
Factor Arrows
1122,573

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, 11, 22573

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 11 x 22,573 = 60,337,629

This can also be written as 35 x 111 x 22,5731 = 60,337,629

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


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