Q: What are the factor combinations of the number 13,473,163?

 A:
Positive:   1 x 1347316311 x 122483317 x 792539109 x 123607187 x 72049661 x 203831199 x 112371853 x 7271
Negative: -1 x -13473163-11 x -1224833-17 x -792539-109 x -123607-187 x -72049-661 x -20383-1199 x -11237-1853 x -7271


How do I find the factor combinations of the number 13,473,163?

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 13,473,163, 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 13,473,163
-1 -13,473,163

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 13,473,163.

Example:
1 x 13,473,163 = 13,473,163
and
-1 x -13,473,163 = 13,473,163
Notice both answers equal 13,473,163

With that explanation out of the way, let's continue. Next, we take the number 13,473,163 and divide it by 2:

13,473,163 ÷ 2 = 6,736,581.5

If the quotient is a whole number, then 2 and 6,736,581.5 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 13,473,163
-1 -13,473,163

Now, we try dividing 13,473,163 by 3:

13,473,163 ÷ 3 = 4,491,054.3333

If the quotient is a whole number, then 3 and 4,491,054.3333 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 13,473,163
-1 -13,473,163

Let's try dividing by 4:

13,473,163 ÷ 4 = 3,368,290.75

If the quotient is a whole number, then 4 and 3,368,290.75 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 13,473,163
-1 13,473,163
Keep dividing by the next highest number until you cannot divide anymore.

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

111171091876611,1991,8537,27111,23720,38372,049123,607792,5391,224,83313,473,163
-1-11-17-109-187-661-1,199-1,853-7,271-11,237-20,383-72,049-123,607-792,539-1,224,833-13,473,163

More Examples

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