Q: What are the factor combinations of the number 13,373,845?

 A:
Positive:   1 x 133738455 x 2674769337 x 396851685 x 7937
Negative: -1 x -13373845-5 x -2674769-337 x -39685-1685 x -7937


How do I find the factor combinations of the number 13,373,845?

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 13,373,845, 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 13,373,845
-1 -13,373,845

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 13,373,845.

Example:
1 x 13,373,845 = 13,373,845
and
-1 x -13,373,845 = 13,373,845
Notice both answers equal 13,373,845

With that explanation out of the way, let's continue. Next, we take the number 13,373,845 and divide it by 2:

13,373,845 ÷ 2 = 6,686,922.5

If the quotient is a whole number, then 2 and 6,686,922.5 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 13,373,845
-1 -13,373,845

Now, we try dividing 13,373,845 by 3:

13,373,845 ÷ 3 = 4,457,948.3333

If the quotient is a whole number, then 3 and 4,457,948.3333 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 13,373,845
-1 -13,373,845

Let's try dividing by 4:

13,373,845 ÷ 4 = 3,343,461.25

If the quotient is a whole number, then 4 and 3,343,461.25 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 13,373,845
-1 13,373,845
Keep dividing by the next highest number until you cannot divide anymore.

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

153371,6857,93739,6852,674,76913,373,845
-1-5-337-1,685-7,937-39,685-2,674,769-13,373,845

More Examples

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