Q: What are the factor combinations of the number 22,015,427?

 A:
Positive:   1 x 220154277 x 31450611279 x 172132459 x 8953
Negative: -1 x -22015427-7 x -3145061-1279 x -17213-2459 x -8953


How do I find the factor combinations of the number 22,015,427?

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 22,015,427, 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 22,015,427
-1 -22,015,427

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 22,015,427.

Example:
1 x 22,015,427 = 22,015,427
and
-1 x -22,015,427 = 22,015,427
Notice both answers equal 22,015,427

With that explanation out of the way, let's continue. Next, we take the number 22,015,427 and divide it by 2:

22,015,427 ÷ 2 = 11,007,713.5

If the quotient is a whole number, then 2 and 11,007,713.5 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 22,015,427
-1 -22,015,427

Now, we try dividing 22,015,427 by 3:

22,015,427 ÷ 3 = 7,338,475.6667

If the quotient is a whole number, then 3 and 7,338,475.6667 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 22,015,427
-1 -22,015,427

Let's try dividing by 4:

22,015,427 ÷ 4 = 5,503,856.75

If the quotient is a whole number, then 4 and 5,503,856.75 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 22,015,427
-1 22,015,427
Keep dividing by the next highest number until you cannot divide anymore.

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

171,2792,4598,95317,2133,145,06122,015,427
-1-7-1,279-2,459-8,953-17,213-3,145,061-22,015,427

More Examples

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