Q: What are the factor combinations of the number 555,771,727?

 A:
Positive:   1 x 5557717277 x 7939596153 x 10486259371 x 1498037701 x 7928272137 x 2600714907 x 11326114959 x 37153
Negative: -1 x -555771727-7 x -79395961-53 x -10486259-371 x -1498037-701 x -792827-2137 x -260071-4907 x -113261-14959 x -37153


How do I find the factor combinations of the number 555,771,727?

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 555,771,727, 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.

1 555,771,727
-1 -555,771,727

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 555,771,727.

Example:
1 x 555,771,727 = 555,771,727
and
-1 x -555,771,727 = 555,771,727
Notice both answers equal 555,771,727

With that explanation out of the way, let's continue. Next, we take the number 555,771,727 and divide it by 2:

555,771,727 ÷ 2 = 277,885,863.5

If the quotient is a whole number, then 2 and 277,885,863.5 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:

1 555,771,727
-1 -555,771,727

Now, we try dividing 555,771,727 by 3:

555,771,727 ÷ 3 = 185,257,242.3333

If the quotient is a whole number, then 3 and 185,257,242.3333 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:

1 555,771,727
-1 -555,771,727

Let's try dividing by 4:

555,771,727 ÷ 4 = 138,942,931.75

If the quotient is a whole number, then 4 and 138,942,931.75 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:

1 555,771,727
-1 555,771,727
Keep dividing by the next highest number until you cannot divide anymore.

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

17533717012,1374,90714,95937,153113,261260,071792,8271,498,03710,486,25979,395,961555,771,727
-1-7-53-371-701-2,137-4,907-14,959-37,153-113,261-260,071-792,827-1,498,037-10,486,259-79,395,961-555,771,727

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