Q: What are the factor combinations of the number 116,663,429?

 A:
Positive:   1 x 11666342923 x 507232343 x 2713103179 x 651751659 x 177031989 x 1179614117 x 283377697 x 15157
Negative: -1 x -116663429-23 x -5072323-43 x -2713103-179 x -651751-659 x -177031-989 x -117961-4117 x -28337-7697 x -15157


How do I find the factor combinations of the number 116,663,429?

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 116,663,429, 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.

1 116,663,429
-1 -116,663,429

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 116,663,429.

Example:
1 x 116,663,429 = 116,663,429
and
-1 x -116,663,429 = 116,663,429
Notice both answers equal 116,663,429

With that explanation out of the way, let's continue. Next, we take the number 116,663,429 and divide it by 2:

116,663,429 ÷ 2 = 58,331,714.5

If the quotient is a whole number, then 2 and 58,331,714.5 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:

1 116,663,429
-1 -116,663,429

Now, we try dividing 116,663,429 by 3:

116,663,429 ÷ 3 = 38,887,809.6667

If the quotient is a whole number, then 3 and 38,887,809.6667 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:

1 116,663,429
-1 -116,663,429

Let's try dividing by 4:

116,663,429 ÷ 4 = 29,165,857.25

If the quotient is a whole number, then 4 and 29,165,857.25 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:

1 116,663,429
-1 116,663,429
Keep dividing by the next highest number until you cannot divide anymore.

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

123431796599894,1177,69715,15728,337117,961177,031651,7512,713,1035,072,323116,663,429
-1-23-43-179-659-989-4,117-7,697-15,157-28,337-117,961-177,031-651,751-2,713,103-5,072,323-116,663,429

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