Q: What are the factor combinations of the number 550,516,135?

 A:
Positive:   1 x 5505161355 x 11010322713 x 4234739529 x 1898331531 x 1775858565 x 8469479145 x 3796663155 x 3551717377 x 1460255403 x 1366045899 x 6123651885 x 2920512015 x 2732094495 x 1224739421 x 5843511687 x 47105
Negative: -1 x -550516135-5 x -110103227-13 x -42347395-29 x -18983315-31 x -17758585-65 x -8469479-145 x -3796663-155 x -3551717-377 x -1460255-403 x -1366045-899 x -612365-1885 x -292051-2015 x -273209-4495 x -122473-9421 x -58435-11687 x -47105


How do I find the factor combinations of the number 550,516,135?

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 550,516,135, 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.

1 550,516,135
-1 -550,516,135

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 550,516,135.

Example:
1 x 550,516,135 = 550,516,135
and
-1 x -550,516,135 = 550,516,135
Notice both answers equal 550,516,135

With that explanation out of the way, let's continue. Next, we take the number 550,516,135 and divide it by 2:

550,516,135 ÷ 2 = 275,258,067.5

If the quotient is a whole number, then 2 and 275,258,067.5 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:

1 550,516,135
-1 -550,516,135

Now, we try dividing 550,516,135 by 3:

550,516,135 ÷ 3 = 183,505,378.3333

If the quotient is a whole number, then 3 and 183,505,378.3333 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:

1 550,516,135
-1 -550,516,135

Let's try dividing by 4:

550,516,135 ÷ 4 = 137,629,033.75

If the quotient is a whole number, then 4 and 137,629,033.75 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:

1 550,516,135
-1 550,516,135
Keep dividing by the next highest number until you cannot divide anymore.

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

15132931651451553774038991,8852,0154,4959,42111,68747,10558,435122,473273,209292,051612,3651,366,0451,460,2553,551,7173,796,6638,469,47917,758,58518,983,31542,347,395110,103,227550,516,135
-1-5-13-29-31-65-145-155-377-403-899-1,885-2,015-4,495-9,421-11,687-47,105-58,435-122,473-273,209-292,051-612,365-1,366,045-1,460,255-3,551,717-3,796,663-8,469,479-17,758,585-18,983,315-42,347,395-110,103,227-550,516,135

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