Q: What are the factor combinations of the number 20,342,125?

 A:
Positive:   1 x 203421255 x 406842525 x 813685109 x 186625125 x 162737545 x 373251493 x 136252725 x 7465
Negative: -1 x -20342125-5 x -4068425-25 x -813685-109 x -186625-125 x -162737-545 x -37325-1493 x -13625-2725 x -7465


How do I find the factor combinations of the number 20,342,125?

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 20,342,125, 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 20,342,125
-1 -20,342,125

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 20,342,125.

Example:
1 x 20,342,125 = 20,342,125
and
-1 x -20,342,125 = 20,342,125
Notice both answers equal 20,342,125

With that explanation out of the way, let's continue. Next, we take the number 20,342,125 and divide it by 2:

20,342,125 ÷ 2 = 10,171,062.5

If the quotient is a whole number, then 2 and 10,171,062.5 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 20,342,125
-1 -20,342,125

Now, we try dividing 20,342,125 by 3:

20,342,125 ÷ 3 = 6,780,708.3333

If the quotient is a whole number, then 3 and 6,780,708.3333 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 20,342,125
-1 -20,342,125

Let's try dividing by 4:

20,342,125 ÷ 4 = 5,085,531.25

If the quotient is a whole number, then 4 and 5,085,531.25 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 20,342,125
-1 20,342,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251091255451,4932,7257,46513,62537,325162,737186,625813,6854,068,42520,342,125
-1-5-25-109-125-545-1,493-2,725-7,465-13,625-37,325-162,737-186,625-813,685-4,068,425-20,342,125

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 20,342,125:


Ask a Question