Q: What are the factor combinations of the number 112,700,021?

 A:
Positive:   1 x 1127000217 x 1610000317 x 662941341 x 2748781119 x 947059287 x 392683697 x 1616934879 x 23099
Negative: -1 x -112700021-7 x -16100003-17 x -6629413-41 x -2748781-119 x -947059-287 x -392683-697 x -161693-4879 x -23099


How do I find the factor combinations of the number 112,700,021?

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 112,700,021, 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.

1 112,700,021
-1 -112,700,021

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 112,700,021.

Example:
1 x 112,700,021 = 112,700,021
and
-1 x -112,700,021 = 112,700,021
Notice both answers equal 112,700,021

With that explanation out of the way, let's continue. Next, we take the number 112,700,021 and divide it by 2:

112,700,021 ÷ 2 = 56,350,010.5

If the quotient is a whole number, then 2 and 56,350,010.5 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:

1 112,700,021
-1 -112,700,021

Now, we try dividing 112,700,021 by 3:

112,700,021 ÷ 3 = 37,566,673.6667

If the quotient is a whole number, then 3 and 37,566,673.6667 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:

1 112,700,021
-1 -112,700,021

Let's try dividing by 4:

112,700,021 ÷ 4 = 28,175,005.25

If the quotient is a whole number, then 4 and 28,175,005.25 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:

1 112,700,021
-1 112,700,021
Keep dividing by the next highest number until you cannot divide anymore.

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

1717411192876974,87923,099161,693392,683947,0592,748,7816,629,41316,100,003112,700,021
-1-7-17-41-119-287-697-4,879-23,099-161,693-392,683-947,059-2,748,781-6,629,413-16,100,003-112,700,021

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