Q: What are the factor combinations of the number 135,555,563?

 A:
Positive:   1 x 13555556311 x 1232323313 x 10427351143 x 947941479 x 2829971979 x 684975269 x 257276227 x 21769
Negative: -1 x -135555563-11 x -12323233-13 x -10427351-143 x -947941-479 x -282997-1979 x -68497-5269 x -25727-6227 x -21769


How do I find the factor combinations of the number 135,555,563?

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 135,555,563, 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.

1 135,555,563
-1 -135,555,563

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 135,555,563.

Example:
1 x 135,555,563 = 135,555,563
and
-1 x -135,555,563 = 135,555,563
Notice both answers equal 135,555,563

With that explanation out of the way, let's continue. Next, we take the number 135,555,563 and divide it by 2:

135,555,563 ÷ 2 = 67,777,781.5

If the quotient is a whole number, then 2 and 67,777,781.5 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:

1 135,555,563
-1 -135,555,563

Now, we try dividing 135,555,563 by 3:

135,555,563 ÷ 3 = 45,185,187.6667

If the quotient is a whole number, then 3 and 45,185,187.6667 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:

1 135,555,563
-1 -135,555,563

Let's try dividing by 4:

135,555,563 ÷ 4 = 33,888,890.75

If the quotient is a whole number, then 4 and 33,888,890.75 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:

1 135,555,563
-1 135,555,563
Keep dividing by the next highest number until you cannot divide anymore.

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

111131434791,9795,2696,22721,76925,72768,497282,997947,94110,427,35112,323,233135,555,563
-1-11-13-143-479-1,979-5,269-6,227-21,769-25,727-68,497-282,997-947,941-10,427,351-12,323,233-135,555,563

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