Q: What are the factor combinations of the number 55,523,017?

 A:
Positive:   1 x 5552301711 x 504754779 x 702823181 x 306757353 x 157289869 x 638931991 x 278873883 x 14299
Negative: -1 x -55523017-11 x -5047547-79 x -702823-181 x -306757-353 x -157289-869 x -63893-1991 x -27887-3883 x -14299


How do I find the factor combinations of the number 55,523,017?

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 55,523,017, 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 55,523,017
-1 -55,523,017

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 55,523,017.

Example:
1 x 55,523,017 = 55,523,017
and
-1 x -55,523,017 = 55,523,017
Notice both answers equal 55,523,017

With that explanation out of the way, let's continue. Next, we take the number 55,523,017 and divide it by 2:

55,523,017 ÷ 2 = 27,761,508.5

If the quotient is a whole number, then 2 and 27,761,508.5 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 55,523,017
-1 -55,523,017

Now, we try dividing 55,523,017 by 3:

55,523,017 ÷ 3 = 18,507,672.3333

If the quotient is a whole number, then 3 and 18,507,672.3333 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 55,523,017
-1 -55,523,017

Let's try dividing by 4:

55,523,017 ÷ 4 = 13,880,754.25

If the quotient is a whole number, then 4 and 13,880,754.25 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 55,523,017
-1 55,523,017
Keep dividing by the next highest number until you cannot divide anymore.

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

111791813538691,9913,88314,29927,88763,893157,289306,757702,8235,047,54755,523,017
-1-11-79-181-353-869-1,991-3,883-14,299-27,887-63,893-157,289-306,757-702,823-5,047,547-55,523,017

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