Q: What are the factor combinations of the number 14,022,125?

 A:
Positive:   1 x 140221255 x 280442513 x 107862525 x 56088565 x 215725125 x 112177325 x 431451625 x 8629
Negative: -1 x -14022125-5 x -2804425-13 x -1078625-25 x -560885-65 x -215725-125 x -112177-325 x -43145-1625 x -8629


How do I find the factor combinations of the number 14,022,125?

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 14,022,125, 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 14,022,125
-1 -14,022,125

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 14,022,125.

Example:
1 x 14,022,125 = 14,022,125
and
-1 x -14,022,125 = 14,022,125
Notice both answers equal 14,022,125

With that explanation out of the way, let's continue. Next, we take the number 14,022,125 and divide it by 2:

14,022,125 ÷ 2 = 7,011,062.5

If the quotient is a whole number, then 2 and 7,011,062.5 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 14,022,125
-1 -14,022,125

Now, we try dividing 14,022,125 by 3:

14,022,125 ÷ 3 = 4,674,041.6667

If the quotient is a whole number, then 3 and 4,674,041.6667 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 14,022,125
-1 -14,022,125

Let's try dividing by 4:

14,022,125 ÷ 4 = 3,505,531.25

If the quotient is a whole number, then 4 and 3,505,531.25 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 14,022,125
-1 14,022,125
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651253251,6258,62943,145112,177215,725560,8851,078,6252,804,42514,022,125
-1-5-13-25-65-125-325-1,625-8,629-43,145-112,177-215,725-560,885-1,078,625-2,804,425-14,022,125

More Examples

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