Q: What are the factor combinations of the number 14,880,437?

 A:
Positive:   1 x 1488043711 x 135276713 x 1144649143 x 104059
Negative: -1 x -14880437-11 x -1352767-13 x -1144649-143 x -104059


How do I find the factor combinations of the number 14,880,437?

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 14,880,437, 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 14,880,437
-1 -14,880,437

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 14,880,437.

Example:
1 x 14,880,437 = 14,880,437
and
-1 x -14,880,437 = 14,880,437
Notice both answers equal 14,880,437

With that explanation out of the way, let's continue. Next, we take the number 14,880,437 and divide it by 2:

14,880,437 ÷ 2 = 7,440,218.5

If the quotient is a whole number, then 2 and 7,440,218.5 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 14,880,437
-1 -14,880,437

Now, we try dividing 14,880,437 by 3:

14,880,437 ÷ 3 = 4,960,145.6667

If the quotient is a whole number, then 3 and 4,960,145.6667 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 14,880,437
-1 -14,880,437

Let's try dividing by 4:

14,880,437 ÷ 4 = 3,720,109.25

If the quotient is a whole number, then 4 and 3,720,109.25 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 14,880,437
-1 14,880,437
Keep dividing by the next highest number until you cannot divide anymore.

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

11113143104,0591,144,6491,352,76714,880,437
-1-11-13-143-104,059-1,144,649-1,352,767-14,880,437

More Examples

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