Q: What are the factor combinations of the number 116,613,031?

 A:
Positive:   1 x 11661303129 x 402113967 x 17404931943 x 60017
Negative: -1 x -116613031-29 x -4021139-67 x -1740493-1943 x -60017


How do I find the factor combinations of the number 116,613,031?

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 116,613,031, 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.

1 116,613,031
-1 -116,613,031

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 116,613,031.

Example:
1 x 116,613,031 = 116,613,031
and
-1 x -116,613,031 = 116,613,031
Notice both answers equal 116,613,031

With that explanation out of the way, let's continue. Next, we take the number 116,613,031 and divide it by 2:

116,613,031 ÷ 2 = 58,306,515.5

If the quotient is a whole number, then 2 and 58,306,515.5 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:

1 116,613,031
-1 -116,613,031

Now, we try dividing 116,613,031 by 3:

116,613,031 ÷ 3 = 38,871,010.3333

If the quotient is a whole number, then 3 and 38,871,010.3333 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:

1 116,613,031
-1 -116,613,031

Let's try dividing by 4:

116,613,031 ÷ 4 = 29,153,257.75

If the quotient is a whole number, then 4 and 29,153,257.75 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:

1 116,613,031
-1 116,613,031
Keep dividing by the next highest number until you cannot divide anymore.

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

129671,94360,0171,740,4934,021,139116,613,031
-1-29-67-1,943-60,017-1,740,493-4,021,139-116,613,031

More Examples

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