Q: What are the factor combinations of the number 112,443,331?

 A:
Positive:   1 x 1124433317 x 1606333311 x 1022212113 x 864948777 x 146030391 x 1235641143 x 7863171001 x 112331
Negative: -1 x -112443331-7 x -16063333-11 x -10222121-13 x -8649487-77 x -1460303-91 x -1235641-143 x -786317-1001 x -112331


How do I find the factor combinations of the number 112,443,331?

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 112,443,331, 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.

1 112,443,331
-1 -112,443,331

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 112,443,331.

Example:
1 x 112,443,331 = 112,443,331
and
-1 x -112,443,331 = 112,443,331
Notice both answers equal 112,443,331

With that explanation out of the way, let's continue. Next, we take the number 112,443,331 and divide it by 2:

112,443,331 ÷ 2 = 56,221,665.5

If the quotient is a whole number, then 2 and 56,221,665.5 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:

1 112,443,331
-1 -112,443,331

Now, we try dividing 112,443,331 by 3:

112,443,331 ÷ 3 = 37,481,110.3333

If the quotient is a whole number, then 3 and 37,481,110.3333 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:

1 112,443,331
-1 -112,443,331

Let's try dividing by 4:

112,443,331 ÷ 4 = 28,110,832.75

If the quotient is a whole number, then 4 and 28,110,832.75 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:

1 112,443,331
-1 112,443,331
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911431,001112,331786,3171,235,6411,460,3038,649,48710,222,12116,063,333112,443,331
-1-7-11-13-77-91-143-1,001-112,331-786,317-1,235,641-1,460,303-8,649,487-10,222,121-16,063,333-112,443,331

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