Q: What are the prime factors of the number 611,556,040?

 A: 2, 5, 19, 73, 151

Why are those the prime factors of the number 611,556,040?

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 611,556,040

611,556,040
Factor Arrows
2305,778,020
Factor Arrows
2152,889,010
Factor Arrows
276,444,505
Factor Arrows
515,288,901
Factor Arrows
19804,679
Factor Arrows
7311,023
Factor Arrows
73151

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, 73, 151

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 19 x 73 x 73 x 151 = 611,556,040

This can also be written as 23 x 51 x 191 x 732 x 1511 = 611,556,040

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


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