Q: What are the factor combinations of the number 14,113,165?

 A:
Positive:   1 x 141131655 x 282263311 x 128301555 x 256603
Negative: -1 x -14113165-5 x -2822633-11 x -1283015-55 x -256603


How do I find the factor combinations of the number 14,113,165?

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 14,113,165, 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 14,113,165
-1 -14,113,165

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 14,113,165.

Example:
1 x 14,113,165 = 14,113,165
and
-1 x -14,113,165 = 14,113,165
Notice both answers equal 14,113,165

With that explanation out of the way, let's continue. Next, we take the number 14,113,165 and divide it by 2:

14,113,165 ÷ 2 = 7,056,582.5

If the quotient is a whole number, then 2 and 7,056,582.5 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 14,113,165
-1 -14,113,165

Now, we try dividing 14,113,165 by 3:

14,113,165 ÷ 3 = 4,704,388.3333

If the quotient is a whole number, then 3 and 4,704,388.3333 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 14,113,165
-1 -14,113,165

Let's try dividing by 4:

14,113,165 ÷ 4 = 3,528,291.25

If the quotient is a whole number, then 4 and 3,528,291.25 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 14,113,165
-1 14,113,165
Keep dividing by the next highest number until you cannot divide anymore.

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

151155256,6031,283,0152,822,63314,113,165
-1-5-11-55-256,603-1,283,015-2,822,633-14,113,165

More Examples

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