Q: What are the factor combinations of the number 14,007,455?

 A:
Positive:   1 x 140074555 x 28014917 x 200106511 x 127340535 x 40021355 x 25468177 x 181915385 x 36383
Negative: -1 x -14007455-5 x -2801491-7 x -2001065-11 x -1273405-35 x -400213-55 x -254681-77 x -181915-385 x -36383


How do I find the factor combinations of the number 14,007,455?

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 14,007,455, 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 14,007,455
-1 -14,007,455

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 14,007,455.

Example:
1 x 14,007,455 = 14,007,455
and
-1 x -14,007,455 = 14,007,455
Notice both answers equal 14,007,455

With that explanation out of the way, let's continue. Next, we take the number 14,007,455 and divide it by 2:

14,007,455 ÷ 2 = 7,003,727.5

If the quotient is a whole number, then 2 and 7,003,727.5 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 14,007,455
-1 -14,007,455

Now, we try dividing 14,007,455 by 3:

14,007,455 ÷ 3 = 4,669,151.6667

If the quotient is a whole number, then 3 and 4,669,151.6667 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 14,007,455
-1 -14,007,455

Let's try dividing by 4:

14,007,455 ÷ 4 = 3,501,863.75

If the quotient is a whole number, then 4 and 3,501,863.75 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 14,007,455
-1 14,007,455
Keep dividing by the next highest number until you cannot divide anymore.

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

1571135557738536,383181,915254,681400,2131,273,4052,001,0652,801,49114,007,455
-1-5-7-11-35-55-77-385-36,383-181,915-254,681-400,213-1,273,405-2,001,065-2,801,491-14,007,455

More Examples

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