Q: What are the factor combinations of the number 14,550,521?

 A:
Positive:   1 x 1455052117 x 85591359 x 24661989 x 163489163 x 892671003 x 145071513 x 96172771 x 5251
Negative: -1 x -14550521-17 x -855913-59 x -246619-89 x -163489-163 x -89267-1003 x -14507-1513 x -9617-2771 x -5251


How do I find the factor combinations of the number 14,550,521?

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 14,550,521, 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 14,550,521
-1 -14,550,521

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 14,550,521.

Example:
1 x 14,550,521 = 14,550,521
and
-1 x -14,550,521 = 14,550,521
Notice both answers equal 14,550,521

With that explanation out of the way, let's continue. Next, we take the number 14,550,521 and divide it by 2:

14,550,521 ÷ 2 = 7,275,260.5

If the quotient is a whole number, then 2 and 7,275,260.5 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 14,550,521
-1 -14,550,521

Now, we try dividing 14,550,521 by 3:

14,550,521 ÷ 3 = 4,850,173.6667

If the quotient is a whole number, then 3 and 4,850,173.6667 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 14,550,521
-1 -14,550,521

Let's try dividing by 4:

14,550,521 ÷ 4 = 3,637,630.25

If the quotient is a whole number, then 4 and 3,637,630.25 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 14,550,521
-1 14,550,521
Keep dividing by the next highest number until you cannot divide anymore.

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

11759891631,0031,5132,7715,2519,61714,50789,267163,489246,619855,91314,550,521
-1-17-59-89-163-1,003-1,513-2,771-5,251-9,617-14,507-89,267-163,489-246,619-855,913-14,550,521

More Examples

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