Q: What are the factor combinations of the number 20,003,485?

 A:
Positive:   1 x 200034855 x 400069719 x 105281595 x 210563193 x 103645965 x 207291091 x 183353667 x 5455
Negative: -1 x -20003485-5 x -4000697-19 x -1052815-95 x -210563-193 x -103645-965 x -20729-1091 x -18335-3667 x -5455


How do I find the factor combinations of the number 20,003,485?

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 20,003,485, 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 20,003,485
-1 -20,003,485

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 20,003,485.

Example:
1 x 20,003,485 = 20,003,485
and
-1 x -20,003,485 = 20,003,485
Notice both answers equal 20,003,485

With that explanation out of the way, let's continue. Next, we take the number 20,003,485 and divide it by 2:

20,003,485 ÷ 2 = 10,001,742.5

If the quotient is a whole number, then 2 and 10,001,742.5 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 20,003,485
-1 -20,003,485

Now, we try dividing 20,003,485 by 3:

20,003,485 ÷ 3 = 6,667,828.3333

If the quotient is a whole number, then 3 and 6,667,828.3333 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 20,003,485
-1 -20,003,485

Let's try dividing by 4:

20,003,485 ÷ 4 = 5,000,871.25

If the quotient is a whole number, then 4 and 5,000,871.25 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 20,003,485
-1 20,003,485
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951939651,0913,6675,45518,33520,729103,645210,5631,052,8154,000,69720,003,485
-1-5-19-95-193-965-1,091-3,667-5,455-18,335-20,729-103,645-210,563-1,052,815-4,000,697-20,003,485

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