Q: What are the factor combinations of the number 23,427,103?

 A:
Positive:   1 x 234271037 x 334672931 x 75571347 x 498449217 x 107959329 x 712071457 x 160792297 x 10199
Negative: -1 x -23427103-7 x -3346729-31 x -755713-47 x -498449-217 x -107959-329 x -71207-1457 x -16079-2297 x -10199


How do I find the factor combinations of the number 23,427,103?

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 23,427,103, 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 23,427,103
-1 -23,427,103

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 23,427,103.

Example:
1 x 23,427,103 = 23,427,103
and
-1 x -23,427,103 = 23,427,103
Notice both answers equal 23,427,103

With that explanation out of the way, let's continue. Next, we take the number 23,427,103 and divide it by 2:

23,427,103 ÷ 2 = 11,713,551.5

If the quotient is a whole number, then 2 and 11,713,551.5 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 23,427,103
-1 -23,427,103

Now, we try dividing 23,427,103 by 3:

23,427,103 ÷ 3 = 7,809,034.3333

If the quotient is a whole number, then 3 and 7,809,034.3333 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 23,427,103
-1 -23,427,103

Let's try dividing by 4:

23,427,103 ÷ 4 = 5,856,775.75

If the quotient is a whole number, then 4 and 5,856,775.75 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 23,427,103
-1 23,427,103
Keep dividing by the next highest number until you cannot divide anymore.

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

1731472173291,4572,29710,19916,07971,207107,959498,449755,7133,346,72923,427,103
-1-7-31-47-217-329-1,457-2,297-10,199-16,079-71,207-107,959-498,449-755,713-3,346,729-23,427,103

More Examples

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