Q: What are the factor combinations of the number 22,142,123?

 A:
Positive:   1 x 2214212323 x 96270147 x 4711091081 x 20483
Negative: -1 x -22142123-23 x -962701-47 x -471109-1081 x -20483


How do I find the factor combinations of the number 22,142,123?

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 22,142,123, 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 22,142,123
-1 -22,142,123

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 22,142,123.

Example:
1 x 22,142,123 = 22,142,123
and
-1 x -22,142,123 = 22,142,123
Notice both answers equal 22,142,123

With that explanation out of the way, let's continue. Next, we take the number 22,142,123 and divide it by 2:

22,142,123 ÷ 2 = 11,071,061.5

If the quotient is a whole number, then 2 and 11,071,061.5 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 22,142,123
-1 -22,142,123

Now, we try dividing 22,142,123 by 3:

22,142,123 ÷ 3 = 7,380,707.6667

If the quotient is a whole number, then 3 and 7,380,707.6667 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 22,142,123
-1 -22,142,123

Let's try dividing by 4:

22,142,123 ÷ 4 = 5,535,530.75

If the quotient is a whole number, then 4 and 5,535,530.75 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 22,142,123
-1 22,142,123
Keep dividing by the next highest number until you cannot divide anymore.

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

123471,08120,483471,109962,70122,142,123
-1-23-47-1,081-20,483-471,109-962,701-22,142,123

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 22,142,123:


Ask a Question