Q: What are the factor combinations of the number 14,220,739?

 A:
Positive:   1 x 1422073913 x 109390323 x 618293199 x 71461239 x 59501299 x 475612587 x 54973107 x 4577
Negative: -1 x -14220739-13 x -1093903-23 x -618293-199 x -71461-239 x -59501-299 x -47561-2587 x -5497-3107 x -4577


How do I find the factor combinations of the number 14,220,739?

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 14,220,739, 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 14,220,739
-1 -14,220,739

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 14,220,739.

Example:
1 x 14,220,739 = 14,220,739
and
-1 x -14,220,739 = 14,220,739
Notice both answers equal 14,220,739

With that explanation out of the way, let's continue. Next, we take the number 14,220,739 and divide it by 2:

14,220,739 ÷ 2 = 7,110,369.5

If the quotient is a whole number, then 2 and 7,110,369.5 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 14,220,739
-1 -14,220,739

Now, we try dividing 14,220,739 by 3:

14,220,739 ÷ 3 = 4,740,246.3333

If the quotient is a whole number, then 3 and 4,740,246.3333 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 14,220,739
-1 -14,220,739

Let's try dividing by 4:

14,220,739 ÷ 4 = 3,555,184.75

If the quotient is a whole number, then 4 and 3,555,184.75 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 14,220,739
-1 14,220,739
Keep dividing by the next highest number until you cannot divide anymore.

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

113231992392992,5873,1074,5775,49747,56159,50171,461618,2931,093,90314,220,739
-1-13-23-199-239-299-2,587-3,107-4,577-5,497-47,561-59,501-71,461-618,293-1,093,903-14,220,739

More Examples

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