Q: What are the factor combinations of the number 553,555,513?

 A:
Positive:   1 x 5535555137 x 7907935917 x 3256208923 x 24067631119 x 4651727161 x 3438233289 x 1915417391 x 14157432023 x 2736312737 x 2022496647 x 8327911897 x 46529
Negative: -1 x -553555513-7 x -79079359-17 x -32562089-23 x -24067631-119 x -4651727-161 x -3438233-289 x -1915417-391 x -1415743-2023 x -273631-2737 x -202249-6647 x -83279-11897 x -46529


How do I find the factor combinations of the number 553,555,513?

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 553,555,513, 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.

1 553,555,513
-1 -553,555,513

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 553,555,513.

Example:
1 x 553,555,513 = 553,555,513
and
-1 x -553,555,513 = 553,555,513
Notice both answers equal 553,555,513

With that explanation out of the way, let's continue. Next, we take the number 553,555,513 and divide it by 2:

553,555,513 ÷ 2 = 276,777,756.5

If the quotient is a whole number, then 2 and 276,777,756.5 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:

1 553,555,513
-1 -553,555,513

Now, we try dividing 553,555,513 by 3:

553,555,513 ÷ 3 = 184,518,504.3333

If the quotient is a whole number, then 3 and 184,518,504.3333 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:

1 553,555,513
-1 -553,555,513

Let's try dividing by 4:

553,555,513 ÷ 4 = 138,388,878.25

If the quotient is a whole number, then 4 and 138,388,878.25 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:

1 553,555,513
-1 553,555,513
Keep dividing by the next highest number until you cannot divide anymore.

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

1717231191612893912,0232,7376,64711,89746,52983,279202,249273,6311,415,7431,915,4173,438,2334,651,72724,067,63132,562,08979,079,359553,555,513
-1-7-17-23-119-161-289-391-2,023-2,737-6,647-11,897-46,529-83,279-202,249-273,631-1,415,743-1,915,417-3,438,233-4,651,727-24,067,631-32,562,089-79,079,359-553,555,513

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