Q: What are the factor combinations of the number 5,615,309?

 A:
Positive:   1 x 56153097 x 80218731 x 181139113 x 49693217 x 25877229 x 24521791 x 70991603 x 3503
Negative: -1 x -5615309-7 x -802187-31 x -181139-113 x -49693-217 x -25877-229 x -24521-791 x -7099-1603 x -3503


How do I find the factor combinations of the number 5,615,309?

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 5,615,309, 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 5,615,309
-1 -5,615,309

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 5,615,309.

Example:
1 x 5,615,309 = 5,615,309
and
-1 x -5,615,309 = 5,615,309
Notice both answers equal 5,615,309

With that explanation out of the way, let's continue. Next, we take the number 5,615,309 and divide it by 2:

5,615,309 ÷ 2 = 2,807,654.5

If the quotient is a whole number, then 2 and 2,807,654.5 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 5,615,309
-1 -5,615,309

Now, we try dividing 5,615,309 by 3:

5,615,309 ÷ 3 = 1,871,769.6667

If the quotient is a whole number, then 3 and 1,871,769.6667 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 5,615,309
-1 -5,615,309

Let's try dividing by 4:

5,615,309 ÷ 4 = 1,403,827.25

If the quotient is a whole number, then 4 and 1,403,827.25 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 5,615,309
-1 5,615,309
Keep dividing by the next highest number until you cannot divide anymore.

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

17311132172297911,6033,5037,09924,52125,87749,693181,139802,1875,615,309
-1-7-31-113-217-229-791-1,603-3,503-7,099-24,521-25,877-49,693-181,139-802,187-5,615,309

More Examples

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