Q: What are the factor combinations of the number 222,331,031?

 A:
Positive:   1 x 22233103113 x 1710238761 x 3644771251 x 885781793 x 2803671117 x 1990433263 x 6813714521 x 15311
Negative: -1 x -222331031-13 x -17102387-61 x -3644771-251 x -885781-793 x -280367-1117 x -199043-3263 x -68137-14521 x -15311


How do I find the factor combinations of the number 222,331,031?

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 222,331,031, 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.

1 222,331,031
-1 -222,331,031

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 222,331,031.

Example:
1 x 222,331,031 = 222,331,031
and
-1 x -222,331,031 = 222,331,031
Notice both answers equal 222,331,031

With that explanation out of the way, let's continue. Next, we take the number 222,331,031 and divide it by 2:

222,331,031 ÷ 2 = 111,165,515.5

If the quotient is a whole number, then 2 and 111,165,515.5 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:

1 222,331,031
-1 -222,331,031

Now, we try dividing 222,331,031 by 3:

222,331,031 ÷ 3 = 74,110,343.6667

If the quotient is a whole number, then 3 and 74,110,343.6667 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:

1 222,331,031
-1 -222,331,031

Let's try dividing by 4:

222,331,031 ÷ 4 = 55,582,757.75

If the quotient is a whole number, then 4 and 55,582,757.75 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:

1 222,331,031
-1 222,331,031
Keep dividing by the next highest number until you cannot divide anymore.

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

113612517931,1173,26314,52115,31168,137199,043280,367885,7813,644,77117,102,387222,331,031
-1-13-61-251-793-1,117-3,263-14,521-15,311-68,137-199,043-280,367-885,781-3,644,771-17,102,387-222,331,031

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