Q: What are the factor combinations of the number 55,157,563?

 A:
Positive:   1 x 5515756379 x 698197139 x 3968175023 x 10981
Negative: -1 x -55157563-79 x -698197-139 x -396817-5023 x -10981


How do I find the factor combinations of the number 55,157,563?

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 55,157,563, 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 55,157,563
-1 -55,157,563

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 55,157,563.

Example:
1 x 55,157,563 = 55,157,563
and
-1 x -55,157,563 = 55,157,563
Notice both answers equal 55,157,563

With that explanation out of the way, let's continue. Next, we take the number 55,157,563 and divide it by 2:

55,157,563 ÷ 2 = 27,578,781.5

If the quotient is a whole number, then 2 and 27,578,781.5 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 55,157,563
-1 -55,157,563

Now, we try dividing 55,157,563 by 3:

55,157,563 ÷ 3 = 18,385,854.3333

If the quotient is a whole number, then 3 and 18,385,854.3333 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 55,157,563
-1 -55,157,563

Let's try dividing by 4:

55,157,563 ÷ 4 = 13,789,390.75

If the quotient is a whole number, then 4 and 13,789,390.75 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 55,157,563
-1 55,157,563
Keep dividing by the next highest number until you cannot divide anymore.

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

1791395,02310,981396,817698,19755,157,563
-1-79-139-5,023-10,981-396,817-698,197-55,157,563

More Examples

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