Q: What are the factor combinations of the number 118,543,313?

 A:
Positive:   1 x 1185433137 x 1693475961 x 194333373 x 1623881427 x 277619511 x 2319833803 x 311714453 x 26621
Negative: -1 x -118543313-7 x -16934759-61 x -1943333-73 x -1623881-427 x -277619-511 x -231983-3803 x -31171-4453 x -26621


How do I find the factor combinations of the number 118,543,313?

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 118,543,313, 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.

1 118,543,313
-1 -118,543,313

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 118,543,313.

Example:
1 x 118,543,313 = 118,543,313
and
-1 x -118,543,313 = 118,543,313
Notice both answers equal 118,543,313

With that explanation out of the way, let's continue. Next, we take the number 118,543,313 and divide it by 2:

118,543,313 ÷ 2 = 59,271,656.5

If the quotient is a whole number, then 2 and 59,271,656.5 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:

1 118,543,313
-1 -118,543,313

Now, we try dividing 118,543,313 by 3:

118,543,313 ÷ 3 = 39,514,437.6667

If the quotient is a whole number, then 3 and 39,514,437.6667 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:

1 118,543,313
-1 -118,543,313

Let's try dividing by 4:

118,543,313 ÷ 4 = 29,635,828.25

If the quotient is a whole number, then 4 and 29,635,828.25 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:

1 118,543,313
-1 118,543,313
Keep dividing by the next highest number until you cannot divide anymore.

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

1761734275113,8034,45326,62131,171231,983277,6191,623,8811,943,33316,934,759118,543,313
-1-7-61-73-427-511-3,803-4,453-26,621-31,171-231,983-277,619-1,623,881-1,943,333-16,934,759-118,543,313

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