Q: What are the factor combinations of the number 20,031,125?

 A:
Positive:   1 x 200311255 x 400622525 x 801245125 x 160249191 x 104875839 x 23875955 x 209754195 x 4775
Negative: -1 x -20031125-5 x -4006225-25 x -801245-125 x -160249-191 x -104875-839 x -23875-955 x -20975-4195 x -4775


How do I find the factor combinations of the number 20,031,125?

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 20,031,125, 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 20,031,125
-1 -20,031,125

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 20,031,125.

Example:
1 x 20,031,125 = 20,031,125
and
-1 x -20,031,125 = 20,031,125
Notice both answers equal 20,031,125

With that explanation out of the way, let's continue. Next, we take the number 20,031,125 and divide it by 2:

20,031,125 ÷ 2 = 10,015,562.5

If the quotient is a whole number, then 2 and 10,015,562.5 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 20,031,125
-1 -20,031,125

Now, we try dividing 20,031,125 by 3:

20,031,125 ÷ 3 = 6,677,041.6667

If the quotient is a whole number, then 3 and 6,677,041.6667 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 20,031,125
-1 -20,031,125

Let's try dividing by 4:

20,031,125 ÷ 4 = 5,007,781.25

If the quotient is a whole number, then 4 and 5,007,781.25 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 20,031,125
-1 20,031,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251918399554,1954,77520,97523,875104,875160,249801,2454,006,22520,031,125
-1-5-25-125-191-839-955-4,195-4,775-20,975-23,875-104,875-160,249-801,245-4,006,225-20,031,125

More Examples

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