Q: What are the factor combinations of the number 222,211,015?

 A:
Positive:   1 x 2222110155 x 4444220313 x 1709315565 x 3418631443 x 5016052215 x 1003215759 x 385857717 x 28795
Negative: -1 x -222211015-5 x -44442203-13 x -17093155-65 x -3418631-443 x -501605-2215 x -100321-5759 x -38585-7717 x -28795


How do I find the factor combinations of the number 222,211,015?

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 222,211,015, 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.

1 222,211,015
-1 -222,211,015

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 222,211,015.

Example:
1 x 222,211,015 = 222,211,015
and
-1 x -222,211,015 = 222,211,015
Notice both answers equal 222,211,015

With that explanation out of the way, let's continue. Next, we take the number 222,211,015 and divide it by 2:

222,211,015 ÷ 2 = 111,105,507.5

If the quotient is a whole number, then 2 and 111,105,507.5 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:

1 222,211,015
-1 -222,211,015

Now, we try dividing 222,211,015 by 3:

222,211,015 ÷ 3 = 74,070,338.3333

If the quotient is a whole number, then 3 and 74,070,338.3333 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:

1 222,211,015
-1 -222,211,015

Let's try dividing by 4:

222,211,015 ÷ 4 = 55,552,753.75

If the quotient is a whole number, then 4 and 55,552,753.75 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:

1 222,211,015
-1 222,211,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1513654432,2155,7597,71728,79538,585100,321501,6053,418,63117,093,15544,442,203222,211,015
-1-5-13-65-443-2,215-5,759-7,717-28,795-38,585-100,321-501,605-3,418,631-17,093,155-44,442,203-222,211,015

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