Q: What are the factor combinations of the number 13,010,023?

 A:
Positive:   1 x 1301002313 x 100077147 x 276809107 x 121589199 x 65377611 x 212931391 x 93532587 x 5029
Negative: -1 x -13010023-13 x -1000771-47 x -276809-107 x -121589-199 x -65377-611 x -21293-1391 x -9353-2587 x -5029


How do I find the factor combinations of the number 13,010,023?

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 13,010,023, 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 13,010,023
-1 -13,010,023

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 13,010,023.

Example:
1 x 13,010,023 = 13,010,023
and
-1 x -13,010,023 = 13,010,023
Notice both answers equal 13,010,023

With that explanation out of the way, let's continue. Next, we take the number 13,010,023 and divide it by 2:

13,010,023 ÷ 2 = 6,505,011.5

If the quotient is a whole number, then 2 and 6,505,011.5 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 13,010,023
-1 -13,010,023

Now, we try dividing 13,010,023 by 3:

13,010,023 ÷ 3 = 4,336,674.3333

If the quotient is a whole number, then 3 and 4,336,674.3333 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 13,010,023
-1 -13,010,023

Let's try dividing by 4:

13,010,023 ÷ 4 = 3,252,505.75

If the quotient is a whole number, then 4 and 3,252,505.75 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 13,010,023
-1 13,010,023
Keep dividing by the next highest number until you cannot divide anymore.

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

113471071996111,3912,5875,0299,35321,29365,377121,589276,8091,000,77113,010,023
-1-13-47-107-199-611-1,391-2,587-5,029-9,353-21,293-65,377-121,589-276,809-1,000,771-13,010,023

More Examples

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