Q: What are the factor combinations of the number 5,656,013?

 A:
Positive:   1 x 565601311 x 514183431 x 131231193 x 4741
Negative: -1 x -5656013-11 x -514183-431 x -13123-1193 x -4741


How do I find the factor combinations of the number 5,656,013?

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 5,656,013, 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 5,656,013
-1 -5,656,013

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 5,656,013.

Example:
1 x 5,656,013 = 5,656,013
and
-1 x -5,656,013 = 5,656,013
Notice both answers equal 5,656,013

With that explanation out of the way, let's continue. Next, we take the number 5,656,013 and divide it by 2:

5,656,013 ÷ 2 = 2,828,006.5

If the quotient is a whole number, then 2 and 2,828,006.5 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 5,656,013
-1 -5,656,013

Now, we try dividing 5,656,013 by 3:

5,656,013 ÷ 3 = 1,885,337.6667

If the quotient is a whole number, then 3 and 1,885,337.6667 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 5,656,013
-1 -5,656,013

Let's try dividing by 4:

5,656,013 ÷ 4 = 1,414,003.25

If the quotient is a whole number, then 4 and 1,414,003.25 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 5,656,013
-1 5,656,013
Keep dividing by the next highest number until you cannot divide anymore.

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

1114311,1934,74113,123514,1835,656,013
-1-11-431-1,193-4,741-13,123-514,183-5,656,013

More Examples

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