Q: What are the factor combinations of the number 13,473,439?

 A:
Positive:   1 x 134734397 x 192477737 x 364147259 x 52021
Negative: -1 x -13473439-7 x -1924777-37 x -364147-259 x -52021


How do I find the factor combinations of the number 13,473,439?

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 13,473,439, 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 13,473,439
-1 -13,473,439

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 13,473,439.

Example:
1 x 13,473,439 = 13,473,439
and
-1 x -13,473,439 = 13,473,439
Notice both answers equal 13,473,439

With that explanation out of the way, let's continue. Next, we take the number 13,473,439 and divide it by 2:

13,473,439 ÷ 2 = 6,736,719.5

If the quotient is a whole number, then 2 and 6,736,719.5 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 13,473,439
-1 -13,473,439

Now, we try dividing 13,473,439 by 3:

13,473,439 ÷ 3 = 4,491,146.3333

If the quotient is a whole number, then 3 and 4,491,146.3333 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 13,473,439
-1 -13,473,439

Let's try dividing by 4:

13,473,439 ÷ 4 = 3,368,359.75

If the quotient is a whole number, then 4 and 3,368,359.75 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 13,473,439
-1 13,473,439
Keep dividing by the next highest number until you cannot divide anymore.

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

173725952,021364,1471,924,77713,473,439
-1-7-37-259-52,021-364,147-1,924,777-13,473,439

More Examples

Here are some more numbers to try:

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