Q: What are the factor combinations of the number 838,827,715?

 A:
Positive:   1 x 8388277155 x 16776554311 x 7625706555 x 15251413131 x 6403265655 x 12806531441 x 5821157205 x 116423
Negative: -1 x -838827715-5 x -167765543-11 x -76257065-55 x -15251413-131 x -6403265-655 x -1280653-1441 x -582115-7205 x -116423


How do I find the factor combinations of the number 838,827,715?

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 838,827,715, 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.

1 838,827,715
-1 -838,827,715

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 838,827,715.

Example:
1 x 838,827,715 = 838,827,715
and
-1 x -838,827,715 = 838,827,715
Notice both answers equal 838,827,715

With that explanation out of the way, let's continue. Next, we take the number 838,827,715 and divide it by 2:

838,827,715 ÷ 2 = 419,413,857.5

If the quotient is a whole number, then 2 and 419,413,857.5 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:

1 838,827,715
-1 -838,827,715

Now, we try dividing 838,827,715 by 3:

838,827,715 ÷ 3 = 279,609,238.3333

If the quotient is a whole number, then 3 and 279,609,238.3333 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:

1 838,827,715
-1 -838,827,715

Let's try dividing by 4:

838,827,715 ÷ 4 = 209,706,928.75

If the quotient is a whole number, then 4 and 209,706,928.75 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:

1 838,827,715
-1 838,827,715
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551316551,4417,205116,423582,1151,280,6536,403,26515,251,41376,257,065167,765,543838,827,715
-1-5-11-55-131-655-1,441-7,205-116,423-582,115-1,280,653-6,403,265-15,251,413-76,257,065-167,765,543-838,827,715

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