Q: What are the factor combinations of the number 14,023,165?

 A:
Positive:   1 x 140231655 x 280463313 x 107870565 x 215741443 x 31655487 x 287952215 x 63312435 x 5759
Negative: -1 x -14023165-5 x -2804633-13 x -1078705-65 x -215741-443 x -31655-487 x -28795-2215 x -6331-2435 x -5759


How do I find the factor combinations of the number 14,023,165?

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 14,023,165, 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 14,023,165
-1 -14,023,165

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 14,023,165.

Example:
1 x 14,023,165 = 14,023,165
and
-1 x -14,023,165 = 14,023,165
Notice both answers equal 14,023,165

With that explanation out of the way, let's continue. Next, we take the number 14,023,165 and divide it by 2:

14,023,165 ÷ 2 = 7,011,582.5

If the quotient is a whole number, then 2 and 7,011,582.5 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 14,023,165
-1 -14,023,165

Now, we try dividing 14,023,165 by 3:

14,023,165 ÷ 3 = 4,674,388.3333

If the quotient is a whole number, then 3 and 4,674,388.3333 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 14,023,165
-1 -14,023,165

Let's try dividing by 4:

14,023,165 ÷ 4 = 3,505,791.25

If the quotient is a whole number, then 4 and 3,505,791.25 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 14,023,165
-1 14,023,165
Keep dividing by the next highest number until you cannot divide anymore.

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

1513654434872,2152,4355,7596,33128,79531,655215,7411,078,7052,804,63314,023,165
-1-5-13-65-443-487-2,215-2,435-5,759-6,331-28,795-31,655-215,741-1,078,705-2,804,633-14,023,165

More Examples

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