Q: What are the factor combinations of the number 117,991,555?

 A:
Positive:   1 x 1179915555 x 2359831111 x 1072650555 x 214530183 x 1421585415 x 284317913 x 1292354565 x 25847
Negative: -1 x -117991555-5 x -23598311-11 x -10726505-55 x -2145301-83 x -1421585-415 x -284317-913 x -129235-4565 x -25847


How do I find the factor combinations of the number 117,991,555?

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 117,991,555, 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.

1 117,991,555
-1 -117,991,555

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 117,991,555.

Example:
1 x 117,991,555 = 117,991,555
and
-1 x -117,991,555 = 117,991,555
Notice both answers equal 117,991,555

With that explanation out of the way, let's continue. Next, we take the number 117,991,555 and divide it by 2:

117,991,555 ÷ 2 = 58,995,777.5

If the quotient is a whole number, then 2 and 58,995,777.5 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:

1 117,991,555
-1 -117,991,555

Now, we try dividing 117,991,555 by 3:

117,991,555 ÷ 3 = 39,330,518.3333

If the quotient is a whole number, then 3 and 39,330,518.3333 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:

1 117,991,555
-1 -117,991,555

Let's try dividing by 4:

117,991,555 ÷ 4 = 29,497,888.75

If the quotient is a whole number, then 4 and 29,497,888.75 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:

1 117,991,555
-1 117,991,555
Keep dividing by the next highest number until you cannot divide anymore.

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

151155834159134,56525,847129,235284,3171,421,5852,145,30110,726,50523,598,311117,991,555
-1-5-11-55-83-415-913-4,565-25,847-129,235-284,317-1,421,585-2,145,301-10,726,505-23,598,311-117,991,555

More Examples

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