Q: What are the factor combinations of the number 136,868,831?

 A:
Positive:   1 x 13686883111 x 12442621331 x 4135013641 x 37591
Negative: -1 x -136868831-11 x -12442621-331 x -413501-3641 x -37591


How do I find the factor combinations of the number 136,868,831?

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 136,868,831, 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.

1 136,868,831
-1 -136,868,831

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 136,868,831.

Example:
1 x 136,868,831 = 136,868,831
and
-1 x -136,868,831 = 136,868,831
Notice both answers equal 136,868,831

With that explanation out of the way, let's continue. Next, we take the number 136,868,831 and divide it by 2:

136,868,831 ÷ 2 = 68,434,415.5

If the quotient is a whole number, then 2 and 68,434,415.5 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:

1 136,868,831
-1 -136,868,831

Now, we try dividing 136,868,831 by 3:

136,868,831 ÷ 3 = 45,622,943.6667

If the quotient is a whole number, then 3 and 45,622,943.6667 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:

1 136,868,831
-1 -136,868,831

Let's try dividing by 4:

136,868,831 ÷ 4 = 34,217,207.75

If the quotient is a whole number, then 4 and 34,217,207.75 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:

1 136,868,831
-1 136,868,831
Keep dividing by the next highest number until you cannot divide anymore.

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

1113313,64137,591413,50112,442,621136,868,831
-1-11-331-3,641-37,591-413,501-12,442,621-136,868,831

More Examples

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