Q: What are the factor combinations of the number 20,246,975?

 A:
Positive:   1 x 202469755 x 40493957 x 289242525 x 80987935 x 578485127 x 159425175 x 115697635 x 31885889 x 22775911 x 222253175 x 63774445 x 4555
Negative: -1 x -20246975-5 x -4049395-7 x -2892425-25 x -809879-35 x -578485-127 x -159425-175 x -115697-635 x -31885-889 x -22775-911 x -22225-3175 x -6377-4445 x -4555


How do I find the factor combinations of the number 20,246,975?

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 20,246,975, 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 20,246,975
-1 -20,246,975

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 20,246,975.

Example:
1 x 20,246,975 = 20,246,975
and
-1 x -20,246,975 = 20,246,975
Notice both answers equal 20,246,975

With that explanation out of the way, let's continue. Next, we take the number 20,246,975 and divide it by 2:

20,246,975 ÷ 2 = 10,123,487.5

If the quotient is a whole number, then 2 and 10,123,487.5 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 20,246,975
-1 -20,246,975

Now, we try dividing 20,246,975 by 3:

20,246,975 ÷ 3 = 6,748,991.6667

If the quotient is a whole number, then 3 and 6,748,991.6667 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 20,246,975
-1 -20,246,975

Let's try dividing by 4:

20,246,975 ÷ 4 = 5,061,743.75

If the quotient is a whole number, then 4 and 5,061,743.75 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 20,246,975
-1 20,246,975
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351271756358899113,1754,4454,5556,37722,22522,77531,885115,697159,425578,485809,8792,892,4254,049,39520,246,975
-1-5-7-25-35-127-175-635-889-911-3,175-4,445-4,555-6,377-22,225-22,775-31,885-115,697-159,425-578,485-809,879-2,892,425-4,049,395-20,246,975

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