Q: What are the factor combinations of the number 122,036,045?

 A:
Positive:   1 x 1220360455 x 2440720923 x 5305915113 x 1079965115 x 1061183565 x 2159932599 x 469559391 x 12995
Negative: -1 x -122036045-5 x -24407209-23 x -5305915-113 x -1079965-115 x -1061183-565 x -215993-2599 x -46955-9391 x -12995


How do I find the factor combinations of the number 122,036,045?

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 122,036,045, 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.

1 122,036,045
-1 -122,036,045

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 122,036,045.

Example:
1 x 122,036,045 = 122,036,045
and
-1 x -122,036,045 = 122,036,045
Notice both answers equal 122,036,045

With that explanation out of the way, let's continue. Next, we take the number 122,036,045 and divide it by 2:

122,036,045 ÷ 2 = 61,018,022.5

If the quotient is a whole number, then 2 and 61,018,022.5 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:

1 122,036,045
-1 -122,036,045

Now, we try dividing 122,036,045 by 3:

122,036,045 ÷ 3 = 40,678,681.6667

If the quotient is a whole number, then 3 and 40,678,681.6667 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:

1 122,036,045
-1 -122,036,045

Let's try dividing by 4:

122,036,045 ÷ 4 = 30,509,011.25

If the quotient is a whole number, then 4 and 30,509,011.25 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:

1 122,036,045
-1 122,036,045
Keep dividing by the next highest number until you cannot divide anymore.

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

15231131155652,5999,39112,99546,955215,9931,061,1831,079,9655,305,91524,407,209122,036,045
-1-5-23-113-115-565-2,599-9,391-12,995-46,955-215,993-1,061,183-1,079,965-5,305,915-24,407,209-122,036,045

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 122,036,045:


Ask a Question