Q: What are the factor combinations of the number 14,112,515?

 A:
Positive:   1 x 141125155 x 2822503
Negative: -1 x -14112515-5 x -2822503


How do I find the factor combinations of the number 14,112,515?

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 14,112,515, 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 14,112,515
-1 -14,112,515

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 14,112,515.

Example:
1 x 14,112,515 = 14,112,515
and
-1 x -14,112,515 = 14,112,515
Notice both answers equal 14,112,515

With that explanation out of the way, let's continue. Next, we take the number 14,112,515 and divide it by 2:

14,112,515 ÷ 2 = 7,056,257.5

If the quotient is a whole number, then 2 and 7,056,257.5 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 14,112,515
-1 -14,112,515

Now, we try dividing 14,112,515 by 3:

14,112,515 ÷ 3 = 4,704,171.6667

If the quotient is a whole number, then 3 and 4,704,171.6667 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 14,112,515
-1 -14,112,515

Let's try dividing by 4:

14,112,515 ÷ 4 = 3,528,128.75

If the quotient is a whole number, then 4 and 3,528,128.75 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 14,112,515
-1 14,112,515
Keep dividing by the next highest number until you cannot divide anymore.

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

152,822,50314,112,515
-1-5-2,822,503-14,112,515

More Examples

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