Q: What are the factor combinations of the number 87,212,071?

 A:
Positive:   1 x 8721207119 x 459010937 x 2357083131 x 665741703 x 124057947 x 920932489 x 350394847 x 17993
Negative: -1 x -87212071-19 x -4590109-37 x -2357083-131 x -665741-703 x -124057-947 x -92093-2489 x -35039-4847 x -17993


How do I find the factor combinations of the number 87,212,071?

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 87,212,071, 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 87,212,071
-1 -87,212,071

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 87,212,071.

Example:
1 x 87,212,071 = 87,212,071
and
-1 x -87,212,071 = 87,212,071
Notice both answers equal 87,212,071

With that explanation out of the way, let's continue. Next, we take the number 87,212,071 and divide it by 2:

87,212,071 ÷ 2 = 43,606,035.5

If the quotient is a whole number, then 2 and 43,606,035.5 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 87,212,071
-1 -87,212,071

Now, we try dividing 87,212,071 by 3:

87,212,071 ÷ 3 = 29,070,690.3333

If the quotient is a whole number, then 3 and 29,070,690.3333 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 87,212,071
-1 -87,212,071

Let's try dividing by 4:

87,212,071 ÷ 4 = 21,803,017.75

If the quotient is a whole number, then 4 and 21,803,017.75 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 87,212,071
-1 87,212,071
Keep dividing by the next highest number until you cannot divide anymore.

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

119371317039472,4894,84717,99335,03992,093124,057665,7412,357,0834,590,10987,212,071
-1-19-37-131-703-947-2,489-4,847-17,993-35,039-92,093-124,057-665,741-2,357,083-4,590,109-87,212,071

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