Q: What are the prime factors of the number 531,544,050?

 A: 2, 3, 5, 1181209

Why are those the prime factors of the number 531,544,050?

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 531,544,050

531,544,050
Factor Arrows
2265,772,025
Factor Arrows
388,590,675
Factor Arrows
329,530,225
Factor Arrows
55,906,045
Factor Arrows
51,181,209

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, 3, 5, 1181209

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 5 x 1,181,209 = 531,544,050

This can also be written as 21 x 32 x 52 x 1,181,2091 = 531,544,050

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


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