Q: What are the factor combinations of the number 20,424,425?

 A:
Positive:   1 x 204244255 x 40848857 x 291777525 x 81697735 x 58355549 x 416825175 x 116711245 x 833651225 x 16673
Negative: -1 x -20424425-5 x -4084885-7 x -2917775-25 x -816977-35 x -583555-49 x -416825-175 x -116711-245 x -83365-1225 x -16673


How do I find the factor combinations of the number 20,424,425?

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 20,424,425, 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 20,424,425
-1 -20,424,425

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 20,424,425.

Example:
1 x 20,424,425 = 20,424,425
and
-1 x -20,424,425 = 20,424,425
Notice both answers equal 20,424,425

With that explanation out of the way, let's continue. Next, we take the number 20,424,425 and divide it by 2:

20,424,425 ÷ 2 = 10,212,212.5

If the quotient is a whole number, then 2 and 10,212,212.5 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 20,424,425
-1 -20,424,425

Now, we try dividing 20,424,425 by 3:

20,424,425 ÷ 3 = 6,808,141.6667

If the quotient is a whole number, then 3 and 6,808,141.6667 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 20,424,425
-1 -20,424,425

Let's try dividing by 4:

20,424,425 ÷ 4 = 5,106,106.25

If the quotient is a whole number, then 4 and 5,106,106.25 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 20,424,425
-1 20,424,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491752451,22516,67383,365116,711416,825583,555816,9772,917,7754,084,88520,424,425
-1-5-7-25-35-49-175-245-1,225-16,673-83,365-116,711-416,825-583,555-816,977-2,917,775-4,084,885-20,424,425

More Examples

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