Q: What are the factor combinations of the number 13,448,723?

 A:
Positive:   1 x 1344872337 x 36347943 x 31276179 x 170237107 x 1256891591 x 84532923 x 46013397 x 3959
Negative: -1 x -13448723-37 x -363479-43 x -312761-79 x -170237-107 x -125689-1591 x -8453-2923 x -4601-3397 x -3959


How do I find the factor combinations of the number 13,448,723?

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 13,448,723, 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 13,448,723
-1 -13,448,723

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 13,448,723.

Example:
1 x 13,448,723 = 13,448,723
and
-1 x -13,448,723 = 13,448,723
Notice both answers equal 13,448,723

With that explanation out of the way, let's continue. Next, we take the number 13,448,723 and divide it by 2:

13,448,723 ÷ 2 = 6,724,361.5

If the quotient is a whole number, then 2 and 6,724,361.5 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 13,448,723
-1 -13,448,723

Now, we try dividing 13,448,723 by 3:

13,448,723 ÷ 3 = 4,482,907.6667

If the quotient is a whole number, then 3 and 4,482,907.6667 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 13,448,723
-1 -13,448,723

Let's try dividing by 4:

13,448,723 ÷ 4 = 3,362,180.75

If the quotient is a whole number, then 4 and 3,362,180.75 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 13,448,723
-1 13,448,723
Keep dividing by the next highest number until you cannot divide anymore.

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

13743791071,5912,9233,3973,9594,6018,453125,689170,237312,761363,47913,448,723
-1-37-43-79-107-1,591-2,923-3,397-3,959-4,601-8,453-125,689-170,237-312,761-363,479-13,448,723

More Examples

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