Q: What are the prime factors of the number 100,111,300?

 A: 2, 5, 17, 58889

Why are those the prime factors of the number 100,111,300?

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 100,111,300

100,111,300
Factor Arrows
250,055,650
Factor Arrows
225,027,825
Factor Arrows
55,005,565
Factor Arrows
51,001,113
Factor Arrows
1758,889

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, 17, 58889

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 17 x 58,889 = 100,111,300

This can also be written as 22 x 52 x 171 x 58,8891 = 100,111,300

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


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