Q: What are the factor combinations of the number 13,214,443?

 A:
Positive:   1 x 1321444311 x 120131319 x 69549723 x 574541209 x 63227253 x 52231437 x 302392749 x 4807
Negative: -1 x -13214443-11 x -1201313-19 x -695497-23 x -574541-209 x -63227-253 x -52231-437 x -30239-2749 x -4807


How do I find the factor combinations of the number 13,214,443?

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 13,214,443, 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 13,214,443
-1 -13,214,443

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 13,214,443.

Example:
1 x 13,214,443 = 13,214,443
and
-1 x -13,214,443 = 13,214,443
Notice both answers equal 13,214,443

With that explanation out of the way, let's continue. Next, we take the number 13,214,443 and divide it by 2:

13,214,443 ÷ 2 = 6,607,221.5

If the quotient is a whole number, then 2 and 6,607,221.5 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 13,214,443
-1 -13,214,443

Now, we try dividing 13,214,443 by 3:

13,214,443 ÷ 3 = 4,404,814.3333

If the quotient is a whole number, then 3 and 4,404,814.3333 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 13,214,443
-1 -13,214,443

Let's try dividing by 4:

13,214,443 ÷ 4 = 3,303,610.75

If the quotient is a whole number, then 4 and 3,303,610.75 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 13,214,443
-1 13,214,443
Keep dividing by the next highest number until you cannot divide anymore.

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

11119232092534372,7494,80730,23952,23163,227574,541695,4971,201,31313,214,443
-1-11-19-23-209-253-437-2,749-4,807-30,239-52,231-63,227-574,541-695,497-1,201,313-13,214,443

More Examples

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