Q: What are the factor combinations of the number 118,741,753?

 A:
Positive:   1 x 11874175313 x 913398117 x 698480989 x 1334177221 x 5372931157 x 1026291513 x 784816037 x 19669
Negative: -1 x -118741753-13 x -9133981-17 x -6984809-89 x -1334177-221 x -537293-1157 x -102629-1513 x -78481-6037 x -19669


How do I find the factor combinations of the number 118,741,753?

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 118,741,753, 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.

1 118,741,753
-1 -118,741,753

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 118,741,753.

Example:
1 x 118,741,753 = 118,741,753
and
-1 x -118,741,753 = 118,741,753
Notice both answers equal 118,741,753

With that explanation out of the way, let's continue. Next, we take the number 118,741,753 and divide it by 2:

118,741,753 ÷ 2 = 59,370,876.5

If the quotient is a whole number, then 2 and 59,370,876.5 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:

1 118,741,753
-1 -118,741,753

Now, we try dividing 118,741,753 by 3:

118,741,753 ÷ 3 = 39,580,584.3333

If the quotient is a whole number, then 3 and 39,580,584.3333 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:

1 118,741,753
-1 -118,741,753

Let's try dividing by 4:

118,741,753 ÷ 4 = 29,685,438.25

If the quotient is a whole number, then 4 and 29,685,438.25 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:

1 118,741,753
-1 118,741,753
Keep dividing by the next highest number until you cannot divide anymore.

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

11317892211,1571,5136,03719,66978,481102,629537,2931,334,1776,984,8099,133,981118,741,753
-1-13-17-89-221-1,157-1,513-6,037-19,669-78,481-102,629-537,293-1,334,177-6,984,809-9,133,981-118,741,753

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