Q: What are the factor combinations of the number 60,186,269?

 A:
Positive:   1 x 6018626911 x 547147913 x 462971397 x 620477143 x 4208831067 x 564071261 x 477294339 x 13871
Negative: -1 x -60186269-11 x -5471479-13 x -4629713-97 x -620477-143 x -420883-1067 x -56407-1261 x -47729-4339 x -13871


How do I find the factor combinations of the number 60,186,269?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 60,186,269, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 60,186,269
-1 -60,186,269

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 60,186,269.

Example:
1 x 60,186,269 = 60,186,269
and
-1 x -60,186,269 = 60,186,269
Notice both answers equal 60,186,269

With that explanation out of the way, let's continue. Next, we take the number 60,186,269 and divide it by 2:

60,186,269 ÷ 2 = 30,093,134.5

If the quotient is a whole number, then 2 and 30,093,134.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 60,186,269
-1 -60,186,269

Now, we try dividing 60,186,269 by 3:

60,186,269 ÷ 3 = 20,062,089.6667

If the quotient is a whole number, then 3 and 20,062,089.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 60,186,269
-1 -60,186,269

Let's try dividing by 4:

60,186,269 ÷ 4 = 15,046,567.25

If the quotient is a whole number, then 4 and 15,046,567.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 60,186,269
-1 60,186,269
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

11113971431,0671,2614,33913,87147,72956,407420,883620,4774,629,7135,471,47960,186,269
-1-11-13-97-143-1,067-1,261-4,339-13,871-47,729-56,407-420,883-620,477-4,629,713-5,471,479-60,186,269

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