Q: What are the factor combinations of the number 13,346,443?

 A:
Positive:   1 x 1334644311 x 121331341 x 325523101 x 132143293 x 45551451 x 295931111 x 120133223 x 4141
Negative: -1 x -13346443-11 x -1213313-41 x -325523-101 x -132143-293 x -45551-451 x -29593-1111 x -12013-3223 x -4141


How do I find the factor combinations of the number 13,346,443?

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 13,346,443, 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 13,346,443
-1 -13,346,443

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 13,346,443.

Example:
1 x 13,346,443 = 13,346,443
and
-1 x -13,346,443 = 13,346,443
Notice both answers equal 13,346,443

With that explanation out of the way, let's continue. Next, we take the number 13,346,443 and divide it by 2:

13,346,443 ÷ 2 = 6,673,221.5

If the quotient is a whole number, then 2 and 6,673,221.5 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 13,346,443
-1 -13,346,443

Now, we try dividing 13,346,443 by 3:

13,346,443 ÷ 3 = 4,448,814.3333

If the quotient is a whole number, then 3 and 4,448,814.3333 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 13,346,443
-1 -13,346,443

Let's try dividing by 4:

13,346,443 ÷ 4 = 3,336,610.75

If the quotient is a whole number, then 4 and 3,336,610.75 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 13,346,443
-1 13,346,443
Keep dividing by the next highest number until you cannot divide anymore.

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

111411012934511,1113,2234,14112,01329,59345,551132,143325,5231,213,31313,346,443
-1-11-41-101-293-451-1,111-3,223-4,141-12,013-29,593-45,551-132,143-325,523-1,213,313-13,346,443

More Examples

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