Q: What are the factor combinations of the number 5,583,655?

 A:
Positive:   1 x 55836555 x 11167317 x 79766511 x 50760535 x 15953355 x 10152177 x 72515385 x 14503
Negative: -1 x -5583655-5 x -1116731-7 x -797665-11 x -507605-35 x -159533-55 x -101521-77 x -72515-385 x -14503


How do I find the factor combinations of the number 5,583,655?

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 5,583,655, 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 5,583,655
-1 -5,583,655

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 5,583,655.

Example:
1 x 5,583,655 = 5,583,655
and
-1 x -5,583,655 = 5,583,655
Notice both answers equal 5,583,655

With that explanation out of the way, let's continue. Next, we take the number 5,583,655 and divide it by 2:

5,583,655 ÷ 2 = 2,791,827.5

If the quotient is a whole number, then 2 and 2,791,827.5 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 5,583,655
-1 -5,583,655

Now, we try dividing 5,583,655 by 3:

5,583,655 ÷ 3 = 1,861,218.3333

If the quotient is a whole number, then 3 and 1,861,218.3333 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 5,583,655
-1 -5,583,655

Let's try dividing by 4:

5,583,655 ÷ 4 = 1,395,913.75

If the quotient is a whole number, then 4 and 1,395,913.75 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 5,583,655
-1 5,583,655
Keep dividing by the next highest number until you cannot divide anymore.

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

1571135557738514,50372,515101,521159,533507,605797,6651,116,7315,583,655
-1-5-7-11-35-55-77-385-14,503-72,515-101,521-159,533-507,605-797,665-1,116,731-5,583,655

More Examples

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