Q: What are the factor combinations of the number 13,644,323?

 A:
Positive:   1 x 136443237 x 194918911 x 124039377 x 17719989 x 153307121 x 112763181 x 75383623 x 21901847 x 16109979 x 139371267 x 107691991 x 6853
Negative: -1 x -13644323-7 x -1949189-11 x -1240393-77 x -177199-89 x -153307-121 x -112763-181 x -75383-623 x -21901-847 x -16109-979 x -13937-1267 x -10769-1991 x -6853


How do I find the factor combinations of the number 13,644,323?

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 13,644,323, 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 13,644,323
-1 -13,644,323

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 13,644,323.

Example:
1 x 13,644,323 = 13,644,323
and
-1 x -13,644,323 = 13,644,323
Notice both answers equal 13,644,323

With that explanation out of the way, let's continue. Next, we take the number 13,644,323 and divide it by 2:

13,644,323 ÷ 2 = 6,822,161.5

If the quotient is a whole number, then 2 and 6,822,161.5 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 13,644,323
-1 -13,644,323

Now, we try dividing 13,644,323 by 3:

13,644,323 ÷ 3 = 4,548,107.6667

If the quotient is a whole number, then 3 and 4,548,107.6667 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 13,644,323
-1 -13,644,323

Let's try dividing by 4:

13,644,323 ÷ 4 = 3,411,080.75

If the quotient is a whole number, then 4 and 3,411,080.75 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 13,644,323
-1 13,644,323
Keep dividing by the next highest number until you cannot divide anymore.

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

171177891211816238479791,2671,9916,85310,76913,93716,10921,90175,383112,763153,307177,1991,240,3931,949,18913,644,323
-1-7-11-77-89-121-181-623-847-979-1,267-1,991-6,853-10,769-13,937-16,109-21,901-75,383-112,763-153,307-177,199-1,240,393-1,949,189-13,644,323

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