Q: What are the factor combinations of the number 14,745,055?

 A:
Positive:   1 x 147450555 x 294901113 x 113423537 x 39851565 x 226847185 x 79703481 x 306552405 x 6131
Negative: -1 x -14745055-5 x -2949011-13 x -1134235-37 x -398515-65 x -226847-185 x -79703-481 x -30655-2405 x -6131


How do I find the factor combinations of the number 14,745,055?

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 14,745,055, 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 14,745,055
-1 -14,745,055

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 14,745,055.

Example:
1 x 14,745,055 = 14,745,055
and
-1 x -14,745,055 = 14,745,055
Notice both answers equal 14,745,055

With that explanation out of the way, let's continue. Next, we take the number 14,745,055 and divide it by 2:

14,745,055 ÷ 2 = 7,372,527.5

If the quotient is a whole number, then 2 and 7,372,527.5 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 14,745,055
-1 -14,745,055

Now, we try dividing 14,745,055 by 3:

14,745,055 ÷ 3 = 4,915,018.3333

If the quotient is a whole number, then 3 and 4,915,018.3333 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 14,745,055
-1 -14,745,055

Let's try dividing by 4:

14,745,055 ÷ 4 = 3,686,263.75

If the quotient is a whole number, then 4 and 3,686,263.75 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 14,745,055
-1 14,745,055
Keep dividing by the next highest number until you cannot divide anymore.

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

151337651854812,4056,13130,65579,703226,847398,5151,134,2352,949,01114,745,055
-1-5-13-37-65-185-481-2,405-6,131-30,655-79,703-226,847-398,515-1,134,235-2,949,011-14,745,055

More Examples

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