Q: What are the factor combinations of the number 14,990,467?

 A:
Positive:   1 x 1499046753 x 282839113 x 1326592503 x 5989
Negative: -1 x -14990467-53 x -282839-113 x -132659-2503 x -5989


How do I find the factor combinations of the number 14,990,467?

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 14,990,467, 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 14,990,467
-1 -14,990,467

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 14,990,467.

Example:
1 x 14,990,467 = 14,990,467
and
-1 x -14,990,467 = 14,990,467
Notice both answers equal 14,990,467

With that explanation out of the way, let's continue. Next, we take the number 14,990,467 and divide it by 2:

14,990,467 ÷ 2 = 7,495,233.5

If the quotient is a whole number, then 2 and 7,495,233.5 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 14,990,467
-1 -14,990,467

Now, we try dividing 14,990,467 by 3:

14,990,467 ÷ 3 = 4,996,822.3333

If the quotient is a whole number, then 3 and 4,996,822.3333 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 14,990,467
-1 -14,990,467

Let's try dividing by 4:

14,990,467 ÷ 4 = 3,747,616.75

If the quotient is a whole number, then 4 and 3,747,616.75 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 14,990,467
-1 14,990,467
Keep dividing by the next highest number until you cannot divide anymore.

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

1531132,5035,989132,659282,83914,990,467
-1-53-113-2,503-5,989-132,659-282,839-14,990,467

More Examples

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