Q: What are the factor combinations of the number 14,370,563?

 A:
Positive:   1 x 1437056361 x 23558389 x 1614672647 x 5429
Negative: -1 x -14370563-61 x -235583-89 x -161467-2647 x -5429


How do I find the factor combinations of the number 14,370,563?

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 14,370,563, 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 14,370,563
-1 -14,370,563

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 14,370,563.

Example:
1 x 14,370,563 = 14,370,563
and
-1 x -14,370,563 = 14,370,563
Notice both answers equal 14,370,563

With that explanation out of the way, let's continue. Next, we take the number 14,370,563 and divide it by 2:

14,370,563 ÷ 2 = 7,185,281.5

If the quotient is a whole number, then 2 and 7,185,281.5 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 14,370,563
-1 -14,370,563

Now, we try dividing 14,370,563 by 3:

14,370,563 ÷ 3 = 4,790,187.6667

If the quotient is a whole number, then 3 and 4,790,187.6667 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 14,370,563
-1 -14,370,563

Let's try dividing by 4:

14,370,563 ÷ 4 = 3,592,640.75

If the quotient is a whole number, then 4 and 3,592,640.75 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 14,370,563
-1 14,370,563
Keep dividing by the next highest number until you cannot divide anymore.

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

161892,6475,429161,467235,58314,370,563
-1-61-89-2,647-5,429-161,467-235,583-14,370,563

More Examples

Here are some more numbers to try:

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