Q: What are the factor combinations of the number 13,448,545?

 A:
Positive:   1 x 134485455 x 268970911 x 122259555 x 244519121 x 111145605 x 22229
Negative: -1 x -13448545-5 x -2689709-11 x -1222595-55 x -244519-121 x -111145-605 x -22229


How do I find the factor combinations of the number 13,448,545?

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 13,448,545, 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 13,448,545
-1 -13,448,545

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 13,448,545.

Example:
1 x 13,448,545 = 13,448,545
and
-1 x -13,448,545 = 13,448,545
Notice both answers equal 13,448,545

With that explanation out of the way, let's continue. Next, we take the number 13,448,545 and divide it by 2:

13,448,545 ÷ 2 = 6,724,272.5

If the quotient is a whole number, then 2 and 6,724,272.5 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 13,448,545
-1 -13,448,545

Now, we try dividing 13,448,545 by 3:

13,448,545 ÷ 3 = 4,482,848.3333

If the quotient is a whole number, then 3 and 4,482,848.3333 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 13,448,545
-1 -13,448,545

Let's try dividing by 4:

13,448,545 ÷ 4 = 3,362,136.25

If the quotient is a whole number, then 4 and 3,362,136.25 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 13,448,545
-1 13,448,545
Keep dividing by the next highest number until you cannot divide anymore.

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

15115512160522,229111,145244,5191,222,5952,689,70913,448,545
-1-5-11-55-121-605-22,229-111,145-244,519-1,222,595-2,689,709-13,448,545

More Examples

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