Q: What are the factor combinations of the number 555,775?

 A:
Positive:   1 x 5557755 x 11115511 x 5052525 x 2223143 x 1292547 x 1182555 x 10105215 x 2585235 x 2365275 x 2021473 x 1175517 x 1075
Negative: -1 x -555775-5 x -111155-11 x -50525-25 x -22231-43 x -12925-47 x -11825-55 x -10105-215 x -2585-235 x -2365-275 x -2021-473 x -1175-517 x -1075


How do I find the factor combinations of the number 555,775?

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 555,775, 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.

1 555,775
-1 -555,775

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 555,775.

Example:
1 x 555,775 = 555,775
and
-1 x -555,775 = 555,775
Notice both answers equal 555,775

With that explanation out of the way, let's continue. Next, we take the number 555,775 and divide it by 2:

555,775 ÷ 2 = 277,887.5

If the quotient is a whole number, then 2 and 277,887.5 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:

1 555,775
-1 -555,775

Now, we try dividing 555,775 by 3:

555,775 ÷ 3 = 185,258.3333

If the quotient is a whole number, then 3 and 185,258.3333 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:

1 555,775
-1 -555,775

Let's try dividing by 4:

555,775 ÷ 4 = 138,943.75

If the quotient is a whole number, then 4 and 138,943.75 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:

1 555,775
-1 555,775
Keep dividing by the next highest number until you cannot divide anymore.

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

1511254347552152352754735171,0751,1752,0212,3652,58510,10511,82512,92522,23150,525111,155555,775
-1-5-11-25-43-47-55-215-235-275-473-517-1,075-1,175-2,021-2,365-2,585-10,105-11,825-12,925-22,231-50,525-111,155-555,775

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