Q: What are the factor combinations of the number 800,133,635?

 A:
Positive:   1 x 8001336355 x 1600267277 x 11430480529 x 2759081535 x 22860961145 x 5518163203 x 39415451015 x 788309
Negative: -1 x -800133635-5 x -160026727-7 x -114304805-29 x -27590815-35 x -22860961-145 x -5518163-203 x -3941545-1015 x -788309


How do I find the factor combinations of the number 800,133,635?

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 800,133,635, 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.

1 800,133,635
-1 -800,133,635

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 800,133,635.

Example:
1 x 800,133,635 = 800,133,635
and
-1 x -800,133,635 = 800,133,635
Notice both answers equal 800,133,635

With that explanation out of the way, let's continue. Next, we take the number 800,133,635 and divide it by 2:

800,133,635 ÷ 2 = 400,066,817.5

If the quotient is a whole number, then 2 and 400,066,817.5 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:

1 800,133,635
-1 -800,133,635

Now, we try dividing 800,133,635 by 3:

800,133,635 ÷ 3 = 266,711,211.6667

If the quotient is a whole number, then 3 and 266,711,211.6667 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:

1 800,133,635
-1 -800,133,635

Let's try dividing by 4:

800,133,635 ÷ 4 = 200,033,408.75

If the quotient is a whole number, then 4 and 200,033,408.75 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:

1 800,133,635
-1 800,133,635
Keep dividing by the next highest number until you cannot divide anymore.

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

15729351452031,015788,3093,941,5455,518,16322,860,96127,590,815114,304,805160,026,727800,133,635
-1-5-7-29-35-145-203-1,015-788,309-3,941,545-5,518,163-22,860,961-27,590,815-114,304,805-160,026,727-800,133,635

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