Q: What are the factor combinations of the number 13,474,243?

 A:
Positive:   1 x 1347424331 x 43465353 x 25423159 x 228377139 x 969371643 x 82011829 x 73673127 x 4309
Negative: -1 x -13474243-31 x -434653-53 x -254231-59 x -228377-139 x -96937-1643 x -8201-1829 x -7367-3127 x -4309


How do I find the factor combinations of the number 13,474,243?

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 13,474,243, 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 13,474,243
-1 -13,474,243

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 13,474,243.

Example:
1 x 13,474,243 = 13,474,243
and
-1 x -13,474,243 = 13,474,243
Notice both answers equal 13,474,243

With that explanation out of the way, let's continue. Next, we take the number 13,474,243 and divide it by 2:

13,474,243 ÷ 2 = 6,737,121.5

If the quotient is a whole number, then 2 and 6,737,121.5 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 13,474,243
-1 -13,474,243

Now, we try dividing 13,474,243 by 3:

13,474,243 ÷ 3 = 4,491,414.3333

If the quotient is a whole number, then 3 and 4,491,414.3333 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 13,474,243
-1 -13,474,243

Let's try dividing by 4:

13,474,243 ÷ 4 = 3,368,560.75

If the quotient is a whole number, then 4 and 3,368,560.75 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 13,474,243
-1 13,474,243
Keep dividing by the next highest number until you cannot divide anymore.

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

13153591391,6431,8293,1274,3097,3678,20196,937228,377254,231434,65313,474,243
-1-31-53-59-139-1,643-1,829-3,127-4,309-7,367-8,201-96,937-228,377-254,231-434,653-13,474,243

More Examples

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