Q: What are the factor combinations of the number 812,608,865?

 A:
Positive:   1 x 8126088655 x 162521773127 x 6398495563 x 1443355635 x 12796992273 x 3575052815 x 28867111365 x 71501
Negative: -1 x -812608865-5 x -162521773-127 x -6398495-563 x -1443355-635 x -1279699-2273 x -357505-2815 x -288671-11365 x -71501


How do I find the factor combinations of the number 812,608,865?

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 812,608,865, 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.

1 812,608,865
-1 -812,608,865

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 812,608,865.

Example:
1 x 812,608,865 = 812,608,865
and
-1 x -812,608,865 = 812,608,865
Notice both answers equal 812,608,865

With that explanation out of the way, let's continue. Next, we take the number 812,608,865 and divide it by 2:

812,608,865 ÷ 2 = 406,304,432.5

If the quotient is a whole number, then 2 and 406,304,432.5 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:

1 812,608,865
-1 -812,608,865

Now, we try dividing 812,608,865 by 3:

812,608,865 ÷ 3 = 270,869,621.6667

If the quotient is a whole number, then 3 and 270,869,621.6667 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:

1 812,608,865
-1 -812,608,865

Let's try dividing by 4:

812,608,865 ÷ 4 = 203,152,216.25

If the quotient is a whole number, then 4 and 203,152,216.25 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:

1 812,608,865
-1 812,608,865
Keep dividing by the next highest number until you cannot divide anymore.

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

151275636352,2732,81511,36571,501288,671357,5051,279,6991,443,3556,398,495162,521,773812,608,865
-1-5-127-563-635-2,273-2,815-11,365-71,501-288,671-357,505-1,279,699-1,443,355-6,398,495-162,521,773-812,608,865

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