Q: What are the factor combinations of the number 13,013,233?

 A:
Positive:   1 x 1301323319 x 68490737 x 351709107 x 121619173 x 75221703 x 185112033 x 64013287 x 3959
Negative: -1 x -13013233-19 x -684907-37 x -351709-107 x -121619-173 x -75221-703 x -18511-2033 x -6401-3287 x -3959


How do I find the factor combinations of the number 13,013,233?

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 13,013,233, 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 13,013,233
-1 -13,013,233

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 13,013,233.

Example:
1 x 13,013,233 = 13,013,233
and
-1 x -13,013,233 = 13,013,233
Notice both answers equal 13,013,233

With that explanation out of the way, let's continue. Next, we take the number 13,013,233 and divide it by 2:

13,013,233 ÷ 2 = 6,506,616.5

If the quotient is a whole number, then 2 and 6,506,616.5 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 13,013,233
-1 -13,013,233

Now, we try dividing 13,013,233 by 3:

13,013,233 ÷ 3 = 4,337,744.3333

If the quotient is a whole number, then 3 and 4,337,744.3333 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 13,013,233
-1 -13,013,233

Let's try dividing by 4:

13,013,233 ÷ 4 = 3,253,308.25

If the quotient is a whole number, then 4 and 3,253,308.25 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 13,013,233
-1 13,013,233
Keep dividing by the next highest number until you cannot divide anymore.

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

119371071737032,0333,2873,9596,40118,51175,221121,619351,709684,90713,013,233
-1-19-37-107-173-703-2,033-3,287-3,959-6,401-18,511-75,221-121,619-351,709-684,907-13,013,233

More Examples

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