Q: What are the factor combinations of the number 13,672,373?

 A:
Positive:   1 x 1367237311 x 124294313 x 105172123 x 594451143 x 95611253 x 54041299 x 457273289 x 4157
Negative: -1 x -13672373-11 x -1242943-13 x -1051721-23 x -594451-143 x -95611-253 x -54041-299 x -45727-3289 x -4157


How do I find the factor combinations of the number 13,672,373?

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 13,672,373, 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 13,672,373
-1 -13,672,373

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 13,672,373.

Example:
1 x 13,672,373 = 13,672,373
and
-1 x -13,672,373 = 13,672,373
Notice both answers equal 13,672,373

With that explanation out of the way, let's continue. Next, we take the number 13,672,373 and divide it by 2:

13,672,373 ÷ 2 = 6,836,186.5

If the quotient is a whole number, then 2 and 6,836,186.5 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 13,672,373
-1 -13,672,373

Now, we try dividing 13,672,373 by 3:

13,672,373 ÷ 3 = 4,557,457.6667

If the quotient is a whole number, then 3 and 4,557,457.6667 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 13,672,373
-1 -13,672,373

Let's try dividing by 4:

13,672,373 ÷ 4 = 3,418,093.25

If the quotient is a whole number, then 4 and 3,418,093.25 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 13,672,373
-1 13,672,373
Keep dividing by the next highest number until you cannot divide anymore.

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

11113231432532993,2894,15745,72754,04195,611594,4511,051,7211,242,94313,672,373
-1-11-13-23-143-253-299-3,289-4,157-45,727-54,041-95,611-594,451-1,051,721-1,242,943-13,672,373

More Examples

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