Q: What are the factor combinations of the number 87,212,069?

 A:
Positive:   1 x 872120697 x 1245886771 x 1228339379 x 230111463 x 188363497 x 1754772653 x 328733241 x 26909
Negative: -1 x -87212069-7 x -12458867-71 x -1228339-379 x -230111-463 x -188363-497 x -175477-2653 x -32873-3241 x -26909


How do I find the factor combinations of the number 87,212,069?

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 87,212,069, 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 87,212,069
-1 -87,212,069

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 87,212,069.

Example:
1 x 87,212,069 = 87,212,069
and
-1 x -87,212,069 = 87,212,069
Notice both answers equal 87,212,069

With that explanation out of the way, let's continue. Next, we take the number 87,212,069 and divide it by 2:

87,212,069 ÷ 2 = 43,606,034.5

If the quotient is a whole number, then 2 and 43,606,034.5 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 87,212,069
-1 -87,212,069

Now, we try dividing 87,212,069 by 3:

87,212,069 ÷ 3 = 29,070,689.6667

If the quotient is a whole number, then 3 and 29,070,689.6667 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 87,212,069
-1 -87,212,069

Let's try dividing by 4:

87,212,069 ÷ 4 = 21,803,017.25

If the quotient is a whole number, then 4 and 21,803,017.25 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 87,212,069
-1 87,212,069
Keep dividing by the next highest number until you cannot divide anymore.

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

17713794634972,6533,24126,90932,873175,477188,363230,1111,228,33912,458,86787,212,069
-1-7-71-379-463-497-2,653-3,241-26,909-32,873-175,477-188,363-230,111-1,228,339-12,458,867-87,212,069

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