Q: What are the factor combinations of the number 555,024,011?

 A:
Positive:   1 x 55502401129 x 1913875941 x 13537171181 x 30664311189 x 4667992579 x 2152095249 x 1057397421 x 74791
Negative: -1 x -555024011-29 x -19138759-41 x -13537171-181 x -3066431-1189 x -466799-2579 x -215209-5249 x -105739-7421 x -74791


How do I find the factor combinations of the number 555,024,011?

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 555,024,011, 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.

1 555,024,011
-1 -555,024,011

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 555,024,011.

Example:
1 x 555,024,011 = 555,024,011
and
-1 x -555,024,011 = 555,024,011
Notice both answers equal 555,024,011

With that explanation out of the way, let's continue. Next, we take the number 555,024,011 and divide it by 2:

555,024,011 ÷ 2 = 277,512,005.5

If the quotient is a whole number, then 2 and 277,512,005.5 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:

1 555,024,011
-1 -555,024,011

Now, we try dividing 555,024,011 by 3:

555,024,011 ÷ 3 = 185,008,003.6667

If the quotient is a whole number, then 3 and 185,008,003.6667 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:

1 555,024,011
-1 -555,024,011

Let's try dividing by 4:

555,024,011 ÷ 4 = 138,756,002.75

If the quotient is a whole number, then 4 and 138,756,002.75 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:

1 555,024,011
-1 555,024,011
Keep dividing by the next highest number until you cannot divide anymore.

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

129411811,1892,5795,2497,42174,791105,739215,209466,7993,066,43113,537,17119,138,759555,024,011
-1-29-41-181-1,189-2,579-5,249-7,421-74,791-105,739-215,209-466,799-3,066,431-13,537,171-19,138,759-555,024,011

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