Q: What are the factor combinations of the number 836,457,815?

 A:
Positive:   1 x 8364578155 x 16729156367 x 1248444583 x 10077805335 x 2496889415 x 2015561449 x 18629352245 x 3725874489 x 1863355561 x 15041522445 x 3726727805 x 30083
Negative: -1 x -836457815-5 x -167291563-67 x -12484445-83 x -10077805-335 x -2496889-415 x -2015561-449 x -1862935-2245 x -372587-4489 x -186335-5561 x -150415-22445 x -37267-27805 x -30083


How do I find the factor combinations of the number 836,457,815?

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 836,457,815, 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.

1 836,457,815
-1 -836,457,815

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 836,457,815.

Example:
1 x 836,457,815 = 836,457,815
and
-1 x -836,457,815 = 836,457,815
Notice both answers equal 836,457,815

With that explanation out of the way, let's continue. Next, we take the number 836,457,815 and divide it by 2:

836,457,815 ÷ 2 = 418,228,907.5

If the quotient is a whole number, then 2 and 418,228,907.5 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:

1 836,457,815
-1 -836,457,815

Now, we try dividing 836,457,815 by 3:

836,457,815 ÷ 3 = 278,819,271.6667

If the quotient is a whole number, then 3 and 278,819,271.6667 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:

1 836,457,815
-1 -836,457,815

Let's try dividing by 4:

836,457,815 ÷ 4 = 209,114,453.75

If the quotient is a whole number, then 4 and 209,114,453.75 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:

1 836,457,815
-1 836,457,815
Keep dividing by the next highest number until you cannot divide anymore.

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

1567833354154492,2454,4895,56122,44527,80530,08337,267150,415186,335372,5871,862,9352,015,5612,496,88910,077,80512,484,445167,291,563836,457,815
-1-5-67-83-335-415-449-2,245-4,489-5,561-22,445-27,805-30,083-37,267-150,415-186,335-372,587-1,862,935-2,015,561-2,496,889-10,077,805-12,484,445-167,291,563-836,457,815

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