Q: What are the factor combinations of the number 555,771,725?

 A:
Positive:   1 x 5557717255 x 11115434525 x 22230869479 x 11602752395 x 23205511975 x 46411
Negative: -1 x -555771725-5 x -111154345-25 x -22230869-479 x -1160275-2395 x -232055-11975 x -46411


How do I find the factor combinations of the number 555,771,725?

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 555,771,725, 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.

1 555,771,725
-1 -555,771,725

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 555,771,725.

Example:
1 x 555,771,725 = 555,771,725
and
-1 x -555,771,725 = 555,771,725
Notice both answers equal 555,771,725

With that explanation out of the way, let's continue. Next, we take the number 555,771,725 and divide it by 2:

555,771,725 ÷ 2 = 277,885,862.5

If the quotient is a whole number, then 2 and 277,885,862.5 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:

1 555,771,725
-1 -555,771,725

Now, we try dividing 555,771,725 by 3:

555,771,725 ÷ 3 = 185,257,241.6667

If the quotient is a whole number, then 3 and 185,257,241.6667 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:

1 555,771,725
-1 -555,771,725

Let's try dividing by 4:

555,771,725 ÷ 4 = 138,942,931.25

If the quotient is a whole number, then 4 and 138,942,931.25 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:

1 555,771,725
-1 555,771,725
Keep dividing by the next highest number until you cannot divide anymore.

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

15254792,39511,97546,411232,0551,160,27522,230,869111,154,345555,771,725
-1-5-25-479-2,395-11,975-46,411-232,055-1,160,275-22,230,869-111,154,345-555,771,725

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