Q: What are the factor combinations of the number 111,743,441?

 A:
Positive:   1 x 11174344137 x 30200931609 x 694491877 x 59533
Negative: -1 x -111743441-37 x -3020093-1609 x -69449-1877 x -59533


How do I find the factor combinations of the number 111,743,441?

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 111,743,441, 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.

1 111,743,441
-1 -111,743,441

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 111,743,441.

Example:
1 x 111,743,441 = 111,743,441
and
-1 x -111,743,441 = 111,743,441
Notice both answers equal 111,743,441

With that explanation out of the way, let's continue. Next, we take the number 111,743,441 and divide it by 2:

111,743,441 ÷ 2 = 55,871,720.5

If the quotient is a whole number, then 2 and 55,871,720.5 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:

1 111,743,441
-1 -111,743,441

Now, we try dividing 111,743,441 by 3:

111,743,441 ÷ 3 = 37,247,813.6667

If the quotient is a whole number, then 3 and 37,247,813.6667 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:

1 111,743,441
-1 -111,743,441

Let's try dividing by 4:

111,743,441 ÷ 4 = 27,935,860.25

If the quotient is a whole number, then 4 and 27,935,860.25 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:

1 111,743,441
-1 111,743,441
Keep dividing by the next highest number until you cannot divide anymore.

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

1371,6091,87759,53369,4493,020,093111,743,441
-1-37-1,609-1,877-59,533-69,449-3,020,093-111,743,441

More Examples

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