Q: What are the factor combinations of the number 14,008,265?

 A:
Positive:   1 x 140082655 x 280165323 x 60905541 x 341665115 x 121811205 x 68333943 x 148552971 x 4715
Negative: -1 x -14008265-5 x -2801653-23 x -609055-41 x -341665-115 x -121811-205 x -68333-943 x -14855-2971 x -4715


How do I find the factor combinations of the number 14,008,265?

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 14,008,265, 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 14,008,265
-1 -14,008,265

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 14,008,265.

Example:
1 x 14,008,265 = 14,008,265
and
-1 x -14,008,265 = 14,008,265
Notice both answers equal 14,008,265

With that explanation out of the way, let's continue. Next, we take the number 14,008,265 and divide it by 2:

14,008,265 ÷ 2 = 7,004,132.5

If the quotient is a whole number, then 2 and 7,004,132.5 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 14,008,265
-1 -14,008,265

Now, we try dividing 14,008,265 by 3:

14,008,265 ÷ 3 = 4,669,421.6667

If the quotient is a whole number, then 3 and 4,669,421.6667 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 14,008,265
-1 -14,008,265

Let's try dividing by 4:

14,008,265 ÷ 4 = 3,502,066.25

If the quotient is a whole number, then 4 and 3,502,066.25 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 14,008,265
-1 14,008,265
Keep dividing by the next highest number until you cannot divide anymore.

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

1523411152059432,9714,71514,85568,333121,811341,665609,0552,801,65314,008,265
-1-5-23-41-115-205-943-2,971-4,715-14,855-68,333-121,811-341,665-609,055-2,801,653-14,008,265

More Examples

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