Q: What are the factor combinations of the number 113,214,031?

 A:
Positive:   1 x 1132140317 x 1617343379 x 1433089101 x 1120931553 x 204727707 x 1601332027 x 558537979 x 14189
Negative: -1 x -113214031-7 x -16173433-79 x -1433089-101 x -1120931-553 x -204727-707 x -160133-2027 x -55853-7979 x -14189


How do I find the factor combinations of the number 113,214,031?

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 113,214,031, 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.

1 113,214,031
-1 -113,214,031

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 113,214,031.

Example:
1 x 113,214,031 = 113,214,031
and
-1 x -113,214,031 = 113,214,031
Notice both answers equal 113,214,031

With that explanation out of the way, let's continue. Next, we take the number 113,214,031 and divide it by 2:

113,214,031 ÷ 2 = 56,607,015.5

If the quotient is a whole number, then 2 and 56,607,015.5 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:

1 113,214,031
-1 -113,214,031

Now, we try dividing 113,214,031 by 3:

113,214,031 ÷ 3 = 37,738,010.3333

If the quotient is a whole number, then 3 and 37,738,010.3333 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:

1 113,214,031
-1 -113,214,031

Let's try dividing by 4:

113,214,031 ÷ 4 = 28,303,507.75

If the quotient is a whole number, then 4 and 28,303,507.75 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:

1 113,214,031
-1 113,214,031
Keep dividing by the next highest number until you cannot divide anymore.

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

17791015537072,0277,97914,18955,853160,133204,7271,120,9311,433,08916,173,433113,214,031
-1-7-79-101-553-707-2,027-7,979-14,189-55,853-160,133-204,727-1,120,931-1,433,089-16,173,433-113,214,031

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