Q: What are the factor combinations of the number 14,344,421?

 A:
Positive:   1 x 143444217 x 204920313 x 110341791 x 157631283 x 50687557 x 257531981 x 72413679 x 3899
Negative: -1 x -14344421-7 x -2049203-13 x -1103417-91 x -157631-283 x -50687-557 x -25753-1981 x -7241-3679 x -3899


How do I find the factor combinations of the number 14,344,421?

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 14,344,421, 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 14,344,421
-1 -14,344,421

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 14,344,421.

Example:
1 x 14,344,421 = 14,344,421
and
-1 x -14,344,421 = 14,344,421
Notice both answers equal 14,344,421

With that explanation out of the way, let's continue. Next, we take the number 14,344,421 and divide it by 2:

14,344,421 ÷ 2 = 7,172,210.5

If the quotient is a whole number, then 2 and 7,172,210.5 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 14,344,421
-1 -14,344,421

Now, we try dividing 14,344,421 by 3:

14,344,421 ÷ 3 = 4,781,473.6667

If the quotient is a whole number, then 3 and 4,781,473.6667 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 14,344,421
-1 -14,344,421

Let's try dividing by 4:

14,344,421 ÷ 4 = 3,586,105.25

If the quotient is a whole number, then 4 and 3,586,105.25 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 14,344,421
-1 14,344,421
Keep dividing by the next highest number until you cannot divide anymore.

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

1713912835571,9813,6793,8997,24125,75350,687157,6311,103,4172,049,20314,344,421
-1-7-13-91-283-557-1,981-3,679-3,899-7,241-25,753-50,687-157,631-1,103,417-2,049,203-14,344,421

More Examples

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