Q: What are the factor combinations of the number 27,867,743?

 A:
Positive:   1 x 2786774317 x 163927923 x 1211641263 x 105961271 x 102833391 x 712734471 x 62334607 x 6049
Negative: -1 x -27867743-17 x -1639279-23 x -1211641-263 x -105961-271 x -102833-391 x -71273-4471 x -6233-4607 x -6049


How do I find the factor combinations of the number 27,867,743?

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 27,867,743, 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 27,867,743
-1 -27,867,743

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 27,867,743.

Example:
1 x 27,867,743 = 27,867,743
and
-1 x -27,867,743 = 27,867,743
Notice both answers equal 27,867,743

With that explanation out of the way, let's continue. Next, we take the number 27,867,743 and divide it by 2:

27,867,743 ÷ 2 = 13,933,871.5

If the quotient is a whole number, then 2 and 13,933,871.5 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 27,867,743
-1 -27,867,743

Now, we try dividing 27,867,743 by 3:

27,867,743 ÷ 3 = 9,289,247.6667

If the quotient is a whole number, then 3 and 9,289,247.6667 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 27,867,743
-1 -27,867,743

Let's try dividing by 4:

27,867,743 ÷ 4 = 6,966,935.75

If the quotient is a whole number, then 4 and 6,966,935.75 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 27,867,743
-1 27,867,743
Keep dividing by the next highest number until you cannot divide anymore.

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

117232632713914,4714,6076,0496,23371,273102,833105,9611,211,6411,639,27927,867,743
-1-17-23-263-271-391-4,471-4,607-6,049-6,233-71,273-102,833-105,961-1,211,641-1,639,279-27,867,743

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 27,867,743:


Ask a Question