Q: What are the factor combinations of the number 11,423,237?

 A:
Positive:   1 x 114232377 x 163189119 x 601223133 x 85889
Negative: -1 x -11423237-7 x -1631891-19 x -601223-133 x -85889


How do I find the factor combinations of the number 11,423,237?

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 11,423,237, 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 11,423,237
-1 -11,423,237

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 11,423,237.

Example:
1 x 11,423,237 = 11,423,237
and
-1 x -11,423,237 = 11,423,237
Notice both answers equal 11,423,237

With that explanation out of the way, let's continue. Next, we take the number 11,423,237 and divide it by 2:

11,423,237 ÷ 2 = 5,711,618.5

If the quotient is a whole number, then 2 and 5,711,618.5 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 11,423,237
-1 -11,423,237

Now, we try dividing 11,423,237 by 3:

11,423,237 ÷ 3 = 3,807,745.6667

If the quotient is a whole number, then 3 and 3,807,745.6667 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 11,423,237
-1 -11,423,237

Let's try dividing by 4:

11,423,237 ÷ 4 = 2,855,809.25

If the quotient is a whole number, then 4 and 2,855,809.25 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 11,423,237
-1 11,423,237
Keep dividing by the next highest number until you cannot divide anymore.

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

171913385,889601,2231,631,89111,423,237
-1-7-19-133-85,889-601,223-1,631,891-11,423,237

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 11,423,237:


Ask a Question