Q: What are the factor combinations of the number 20,533,603?

 A:
Positive:   1 x 2053360317 x 1207859101 x 2033031717 x 11959
Negative: -1 x -20533603-17 x -1207859-101 x -203303-1717 x -11959


How do I find the factor combinations of the number 20,533,603?

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 20,533,603, 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 20,533,603
-1 -20,533,603

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 20,533,603.

Example:
1 x 20,533,603 = 20,533,603
and
-1 x -20,533,603 = 20,533,603
Notice both answers equal 20,533,603

With that explanation out of the way, let's continue. Next, we take the number 20,533,603 and divide it by 2:

20,533,603 ÷ 2 = 10,266,801.5

If the quotient is a whole number, then 2 and 10,266,801.5 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 20,533,603
-1 -20,533,603

Now, we try dividing 20,533,603 by 3:

20,533,603 ÷ 3 = 6,844,534.3333

If the quotient is a whole number, then 3 and 6,844,534.3333 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 20,533,603
-1 -20,533,603

Let's try dividing by 4:

20,533,603 ÷ 4 = 5,133,400.75

If the quotient is a whole number, then 4 and 5,133,400.75 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 20,533,603
-1 20,533,603
Keep dividing by the next highest number until you cannot divide anymore.

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

1171011,71711,959203,3031,207,85920,533,603
-1-17-101-1,717-11,959-203,303-1,207,859-20,533,603

More Examples

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