Q: What are the factor combinations of the number 20,774,425?

 A:
Positive:   1 x 207744255 x 41548857 x 296777517 x 122202525 x 83097735 x 59355585 x 244405119 x 174575175 x 118711425 x 48881595 x 349152975 x 6983
Negative: -1 x -20774425-5 x -4154885-7 x -2967775-17 x -1222025-25 x -830977-35 x -593555-85 x -244405-119 x -174575-175 x -118711-425 x -48881-595 x -34915-2975 x -6983


How do I find the factor combinations of the number 20,774,425?

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 20,774,425, 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 20,774,425
-1 -20,774,425

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 20,774,425.

Example:
1 x 20,774,425 = 20,774,425
and
-1 x -20,774,425 = 20,774,425
Notice both answers equal 20,774,425

With that explanation out of the way, let's continue. Next, we take the number 20,774,425 and divide it by 2:

20,774,425 ÷ 2 = 10,387,212.5

If the quotient is a whole number, then 2 and 10,387,212.5 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 20,774,425
-1 -20,774,425

Now, we try dividing 20,774,425 by 3:

20,774,425 ÷ 3 = 6,924,808.3333

If the quotient is a whole number, then 3 and 6,924,808.3333 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 20,774,425
-1 -20,774,425

Let's try dividing by 4:

20,774,425 ÷ 4 = 5,193,606.25

If the quotient is a whole number, then 4 and 5,193,606.25 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 20,774,425
-1 20,774,425
Keep dividing by the next highest number until you cannot divide anymore.

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

157172535851191754255952,9756,98334,91548,881118,711174,575244,405593,555830,9771,222,0252,967,7754,154,88520,774,425
-1-5-7-17-25-35-85-119-175-425-595-2,975-6,983-34,915-48,881-118,711-174,575-244,405-593,555-830,977-1,222,025-2,967,775-4,154,885-20,774,425

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