Q: What are the factor combinations of the number 111,012,031?

 A:
Positive:   1 x 11101203113 x 8539387109 x 1018459157 x 707083499 x 2224691417 x 783432041 x 543916487 x 17113
Negative: -1 x -111012031-13 x -8539387-109 x -1018459-157 x -707083-499 x -222469-1417 x -78343-2041 x -54391-6487 x -17113


How do I find the factor combinations of the number 111,012,031?

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 111,012,031, 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.

1 111,012,031
-1 -111,012,031

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 111,012,031.

Example:
1 x 111,012,031 = 111,012,031
and
-1 x -111,012,031 = 111,012,031
Notice both answers equal 111,012,031

With that explanation out of the way, let's continue. Next, we take the number 111,012,031 and divide it by 2:

111,012,031 ÷ 2 = 55,506,015.5

If the quotient is a whole number, then 2 and 55,506,015.5 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:

1 111,012,031
-1 -111,012,031

Now, we try dividing 111,012,031 by 3:

111,012,031 ÷ 3 = 37,004,010.3333

If the quotient is a whole number, then 3 and 37,004,010.3333 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:

1 111,012,031
-1 -111,012,031

Let's try dividing by 4:

111,012,031 ÷ 4 = 27,753,007.75

If the quotient is a whole number, then 4 and 27,753,007.75 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:

1 111,012,031
-1 111,012,031
Keep dividing by the next highest number until you cannot divide anymore.

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

1131091574991,4172,0416,48717,11354,39178,343222,469707,0831,018,4598,539,387111,012,031
-1-13-109-157-499-1,417-2,041-6,487-17,113-54,391-78,343-222,469-707,083-1,018,459-8,539,387-111,012,031

More Examples

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