Q: What are the factor combinations of the number 55,720,715?

 A:
Positive:   1 x 557207155 x 11144143419 x 1329852095 x 26597
Negative: -1 x -55720715-5 x -11144143-419 x -132985-2095 x -26597


How do I find the factor combinations of the number 55,720,715?

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 55,720,715, 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 55,720,715
-1 -55,720,715

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 55,720,715.

Example:
1 x 55,720,715 = 55,720,715
and
-1 x -55,720,715 = 55,720,715
Notice both answers equal 55,720,715

With that explanation out of the way, let's continue. Next, we take the number 55,720,715 and divide it by 2:

55,720,715 ÷ 2 = 27,860,357.5

If the quotient is a whole number, then 2 and 27,860,357.5 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 55,720,715
-1 -55,720,715

Now, we try dividing 55,720,715 by 3:

55,720,715 ÷ 3 = 18,573,571.6667

If the quotient is a whole number, then 3 and 18,573,571.6667 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 55,720,715
-1 -55,720,715

Let's try dividing by 4:

55,720,715 ÷ 4 = 13,930,178.75

If the quotient is a whole number, then 4 and 13,930,178.75 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 55,720,715
-1 55,720,715
Keep dividing by the next highest number until you cannot divide anymore.

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

154192,09526,597132,98511,144,14355,720,715
-1-5-419-2,095-26,597-132,985-11,144,143-55,720,715

More Examples

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