Q: What are the factor combinations of the number 23,242,145?

 A:
Positive:   1 x 232421455 x 464842917 x 136718543 x 54051585 x 273437215 x 108103731 x 317953655 x 6359
Negative: -1 x -23242145-5 x -4648429-17 x -1367185-43 x -540515-85 x -273437-215 x -108103-731 x -31795-3655 x -6359


How do I find the factor combinations of the number 23,242,145?

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 23,242,145, 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 23,242,145
-1 -23,242,145

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 23,242,145.

Example:
1 x 23,242,145 = 23,242,145
and
-1 x -23,242,145 = 23,242,145
Notice both answers equal 23,242,145

With that explanation out of the way, let's continue. Next, we take the number 23,242,145 and divide it by 2:

23,242,145 ÷ 2 = 11,621,072.5

If the quotient is a whole number, then 2 and 11,621,072.5 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 23,242,145
-1 -23,242,145

Now, we try dividing 23,242,145 by 3:

23,242,145 ÷ 3 = 7,747,381.6667

If the quotient is a whole number, then 3 and 7,747,381.6667 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 23,242,145
-1 -23,242,145

Let's try dividing by 4:

23,242,145 ÷ 4 = 5,810,536.25

If the quotient is a whole number, then 4 and 5,810,536.25 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 23,242,145
-1 23,242,145
Keep dividing by the next highest number until you cannot divide anymore.

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

151743852157313,6556,35931,795108,103273,437540,5151,367,1854,648,42923,242,145
-1-5-17-43-85-215-731-3,655-6,359-31,795-108,103-273,437-540,515-1,367,185-4,648,429-23,242,145

More Examples

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