Q: What are the factor combinations of the number 55,111,555?

 A:
Positive:   1 x 551115555 x 110223112843 x 193853877 x 14215
Negative: -1 x -55111555-5 x -11022311-2843 x -19385-3877 x -14215


How do I find the factor combinations of the number 55,111,555?

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 55,111,555, 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 55,111,555
-1 -55,111,555

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 55,111,555.

Example:
1 x 55,111,555 = 55,111,555
and
-1 x -55,111,555 = 55,111,555
Notice both answers equal 55,111,555

With that explanation out of the way, let's continue. Next, we take the number 55,111,555 and divide it by 2:

55,111,555 ÷ 2 = 27,555,777.5

If the quotient is a whole number, then 2 and 27,555,777.5 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 55,111,555
-1 -55,111,555

Now, we try dividing 55,111,555 by 3:

55,111,555 ÷ 3 = 18,370,518.3333

If the quotient is a whole number, then 3 and 18,370,518.3333 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 55,111,555
-1 -55,111,555

Let's try dividing by 4:

55,111,555 ÷ 4 = 13,777,888.75

If the quotient is a whole number, then 4 and 13,777,888.75 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 55,111,555
-1 55,111,555
Keep dividing by the next highest number until you cannot divide anymore.

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

152,8433,87714,21519,38511,022,31155,111,555
-1-5-2,843-3,877-14,215-19,385-11,022,311-55,111,555

More Examples

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