Q: What are the factor combinations of the number 20,342,305?

 A:
Positive:   1 x 203423055 x 406846147 x 432815107 x 190115235 x 86563535 x 38023809 x 251454045 x 5029
Negative: -1 x -20342305-5 x -4068461-47 x -432815-107 x -190115-235 x -86563-535 x -38023-809 x -25145-4045 x -5029


How do I find the factor combinations of the number 20,342,305?

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 20,342,305, 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 20,342,305
-1 -20,342,305

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 20,342,305.

Example:
1 x 20,342,305 = 20,342,305
and
-1 x -20,342,305 = 20,342,305
Notice both answers equal 20,342,305

With that explanation out of the way, let's continue. Next, we take the number 20,342,305 and divide it by 2:

20,342,305 ÷ 2 = 10,171,152.5

If the quotient is a whole number, then 2 and 10,171,152.5 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 20,342,305
-1 -20,342,305

Now, we try dividing 20,342,305 by 3:

20,342,305 ÷ 3 = 6,780,768.3333

If the quotient is a whole number, then 3 and 6,780,768.3333 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 20,342,305
-1 -20,342,305

Let's try dividing by 4:

20,342,305 ÷ 4 = 5,085,576.25

If the quotient is a whole number, then 4 and 5,085,576.25 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 20,342,305
-1 20,342,305
Keep dividing by the next highest number until you cannot divide anymore.

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

15471072355358094,0455,02925,14538,02386,563190,115432,8154,068,46120,342,305
-1-5-47-107-235-535-809-4,045-5,029-25,145-38,023-86,563-190,115-432,815-4,068,461-20,342,305

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 20,342,305:


Ask a Question