Q: What are the factor combinations of the number 87,320,363?

 A:
Positive:   1 x 8732036313 x 671695129 x 301104767 x 1303289377 x 231619871 x 1002531943 x 449413457 x 25259
Negative: -1 x -87320363-13 x -6716951-29 x -3011047-67 x -1303289-377 x -231619-871 x -100253-1943 x -44941-3457 x -25259


How do I find the factor combinations of the number 87,320,363?

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 87,320,363, 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 87,320,363
-1 -87,320,363

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 87,320,363.

Example:
1 x 87,320,363 = 87,320,363
and
-1 x -87,320,363 = 87,320,363
Notice both answers equal 87,320,363

With that explanation out of the way, let's continue. Next, we take the number 87,320,363 and divide it by 2:

87,320,363 ÷ 2 = 43,660,181.5

If the quotient is a whole number, then 2 and 43,660,181.5 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 87,320,363
-1 -87,320,363

Now, we try dividing 87,320,363 by 3:

87,320,363 ÷ 3 = 29,106,787.6667

If the quotient is a whole number, then 3 and 29,106,787.6667 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 87,320,363
-1 -87,320,363

Let's try dividing by 4:

87,320,363 ÷ 4 = 21,830,090.75

If the quotient is a whole number, then 4 and 21,830,090.75 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 87,320,363
-1 87,320,363
Keep dividing by the next highest number until you cannot divide anymore.

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

11329673778711,9433,45725,25944,941100,253231,6191,303,2893,011,0476,716,95187,320,363
-1-13-29-67-377-871-1,943-3,457-25,259-44,941-100,253-231,619-1,303,289-3,011,047-6,716,951-87,320,363

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