Q: What are the factor combinations of the number 116,733,853?

 A:
Positive:   1 x 11673385319 x 614388737 x 315496947 x 2483699703 x 166051893 x 1307211739 x 671273533 x 33041
Negative: -1 x -116733853-19 x -6143887-37 x -3154969-47 x -2483699-703 x -166051-893 x -130721-1739 x -67127-3533 x -33041


How do I find the factor combinations of the number 116,733,853?

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 116,733,853, 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.

1 116,733,853
-1 -116,733,853

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 116,733,853.

Example:
1 x 116,733,853 = 116,733,853
and
-1 x -116,733,853 = 116,733,853
Notice both answers equal 116,733,853

With that explanation out of the way, let's continue. Next, we take the number 116,733,853 and divide it by 2:

116,733,853 ÷ 2 = 58,366,926.5

If the quotient is a whole number, then 2 and 58,366,926.5 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:

1 116,733,853
-1 -116,733,853

Now, we try dividing 116,733,853 by 3:

116,733,853 ÷ 3 = 38,911,284.3333

If the quotient is a whole number, then 3 and 38,911,284.3333 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:

1 116,733,853
-1 -116,733,853

Let's try dividing by 4:

116,733,853 ÷ 4 = 29,183,463.25

If the quotient is a whole number, then 4 and 29,183,463.25 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:

1 116,733,853
-1 116,733,853
Keep dividing by the next highest number until you cannot divide anymore.

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

11937477038931,7393,53333,04167,127130,721166,0512,483,6993,154,9696,143,887116,733,853
-1-19-37-47-703-893-1,739-3,533-33,041-67,127-130,721-166,051-2,483,699-3,154,969-6,143,887-116,733,853

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