Q: What are the factor combinations of the number 555,200,035?

 A:
Positive:   1 x 5552000355 x 11104000713 x 4270769565 x 8541539137 x 4052555685 x 8105111781 x 3117358905 x 62347
Negative: -1 x -555200035-5 x -111040007-13 x -42707695-65 x -8541539-137 x -4052555-685 x -810511-1781 x -311735-8905 x -62347


How do I find the factor combinations of the number 555,200,035?

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 555,200,035, 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.

1 555,200,035
-1 -555,200,035

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 555,200,035.

Example:
1 x 555,200,035 = 555,200,035
and
-1 x -555,200,035 = 555,200,035
Notice both answers equal 555,200,035

With that explanation out of the way, let's continue. Next, we take the number 555,200,035 and divide it by 2:

555,200,035 ÷ 2 = 277,600,017.5

If the quotient is a whole number, then 2 and 277,600,017.5 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:

1 555,200,035
-1 -555,200,035

Now, we try dividing 555,200,035 by 3:

555,200,035 ÷ 3 = 185,066,678.3333

If the quotient is a whole number, then 3 and 185,066,678.3333 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:

1 555,200,035
-1 -555,200,035

Let's try dividing by 4:

555,200,035 ÷ 4 = 138,800,008.75

If the quotient is a whole number, then 4 and 138,800,008.75 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:

1 555,200,035
-1 555,200,035
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651376851,7818,90562,347311,735810,5114,052,5558,541,53942,707,695111,040,007555,200,035
-1-5-13-65-137-685-1,781-8,905-62,347-311,735-810,511-4,052,555-8,541,539-42,707,695-111,040,007-555,200,035

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