Q: What are the prime factors of the number 60,703,100?

 A: 2, 5, 19, 43, 743

Why are those the prime factors of the number 60,703,100?

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 60,703,100

60,703,100
Factor Arrows
230,351,550
Factor Arrows
215,175,775
Factor Arrows
53,035,155
Factor Arrows
5607,031
Factor Arrows
1931,949
Factor Arrows
43743

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, 5, 19, 43, 743

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 19 x 43 x 743 = 60,703,100

This can also be written as 22 x 52 x 191 x 431 x 7431 = 60,703,100

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


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