Q: What are the factor combinations of the number 113,220,443?

 A:
Positive:   1 x 1132204437 x 161743491789 x 632879041 x 12523
Negative: -1 x -113220443-7 x -16174349-1789 x -63287-9041 x -12523


How do I find the factor combinations of the number 113,220,443?

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 113,220,443, 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.

1 113,220,443
-1 -113,220,443

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 113,220,443.

Example:
1 x 113,220,443 = 113,220,443
and
-1 x -113,220,443 = 113,220,443
Notice both answers equal 113,220,443

With that explanation out of the way, let's continue. Next, we take the number 113,220,443 and divide it by 2:

113,220,443 ÷ 2 = 56,610,221.5

If the quotient is a whole number, then 2 and 56,610,221.5 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:

1 113,220,443
-1 -113,220,443

Now, we try dividing 113,220,443 by 3:

113,220,443 ÷ 3 = 37,740,147.6667

If the quotient is a whole number, then 3 and 37,740,147.6667 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:

1 113,220,443
-1 -113,220,443

Let's try dividing by 4:

113,220,443 ÷ 4 = 28,305,110.75

If the quotient is a whole number, then 4 and 28,305,110.75 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:

1 113,220,443
-1 113,220,443
Keep dividing by the next highest number until you cannot divide anymore.

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

171,7899,04112,52363,28716,174,349113,220,443
-1-7-1,789-9,041-12,523-63,287-16,174,349-113,220,443

More Examples

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