Q: What are the factor combinations of the number 20,469,625?

 A:
Positive:   1 x 204696255 x 409392511 x 186087525 x 81878555 x 372175125 x 163757275 x 744351375 x 14887
Negative: -1 x -20469625-5 x -4093925-11 x -1860875-25 x -818785-55 x -372175-125 x -163757-275 x -74435-1375 x -14887


How do I find the factor combinations of the number 20,469,625?

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 20,469,625, 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 20,469,625
-1 -20,469,625

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 20,469,625.

Example:
1 x 20,469,625 = 20,469,625
and
-1 x -20,469,625 = 20,469,625
Notice both answers equal 20,469,625

With that explanation out of the way, let's continue. Next, we take the number 20,469,625 and divide it by 2:

20,469,625 ÷ 2 = 10,234,812.5

If the quotient is a whole number, then 2 and 10,234,812.5 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 20,469,625
-1 -20,469,625

Now, we try dividing 20,469,625 by 3:

20,469,625 ÷ 3 = 6,823,208.3333

If the quotient is a whole number, then 3 and 6,823,208.3333 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 20,469,625
-1 -20,469,625

Let's try dividing by 4:

20,469,625 ÷ 4 = 5,117,406.25

If the quotient is a whole number, then 4 and 5,117,406.25 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 20,469,625
-1 20,469,625
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551252751,37514,88774,435163,757372,175818,7851,860,8754,093,92520,469,625
-1-5-11-25-55-125-275-1,375-14,887-74,435-163,757-372,175-818,785-1,860,875-4,093,925-20,469,625

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