Q: What are the factor combinations of the number 555,130,207?

 A:
Positive:   1 x 55513020747 x 11811281461 x 120418721667 x 25621
Negative: -1 x -555130207-47 x -11811281-461 x -1204187-21667 x -25621


How do I find the factor combinations of the number 555,130,207?

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 555,130,207, 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.

1 555,130,207
-1 -555,130,207

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 555,130,207.

Example:
1 x 555,130,207 = 555,130,207
and
-1 x -555,130,207 = 555,130,207
Notice both answers equal 555,130,207

With that explanation out of the way, let's continue. Next, we take the number 555,130,207 and divide it by 2:

555,130,207 ÷ 2 = 277,565,103.5

If the quotient is a whole number, then 2 and 277,565,103.5 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:

1 555,130,207
-1 -555,130,207

Now, we try dividing 555,130,207 by 3:

555,130,207 ÷ 3 = 185,043,402.3333

If the quotient is a whole number, then 3 and 185,043,402.3333 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:

1 555,130,207
-1 -555,130,207

Let's try dividing by 4:

555,130,207 ÷ 4 = 138,782,551.75

If the quotient is a whole number, then 4 and 138,782,551.75 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:

1 555,130,207
-1 555,130,207
Keep dividing by the next highest number until you cannot divide anymore.

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

14746121,66725,6211,204,18711,811,281555,130,207
-1-47-461-21,667-25,621-1,204,187-11,811,281-555,130,207

More Examples

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