Q: What are the factor combinations of the number 204,424,015?

 A:
Positive:   1 x 2044240155 x 408848032753 x 7425513765 x 14851
Negative: -1 x -204424015-5 x -40884803-2753 x -74255-13765 x -14851


How do I find the factor combinations of the number 204,424,015?

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 204,424,015, 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.

1 204,424,015
-1 -204,424,015

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 204,424,015.

Example:
1 x 204,424,015 = 204,424,015
and
-1 x -204,424,015 = 204,424,015
Notice both answers equal 204,424,015

With that explanation out of the way, let's continue. Next, we take the number 204,424,015 and divide it by 2:

204,424,015 ÷ 2 = 102,212,007.5

If the quotient is a whole number, then 2 and 102,212,007.5 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:

1 204,424,015
-1 -204,424,015

Now, we try dividing 204,424,015 by 3:

204,424,015 ÷ 3 = 68,141,338.3333

If the quotient is a whole number, then 3 and 68,141,338.3333 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:

1 204,424,015
-1 -204,424,015

Let's try dividing by 4:

204,424,015 ÷ 4 = 51,106,003.75

If the quotient is a whole number, then 4 and 51,106,003.75 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:

1 204,424,015
-1 204,424,015
Keep dividing by the next highest number until you cannot divide anymore.

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

152,75313,76514,85174,25540,884,803204,424,015
-1-5-2,753-13,765-14,851-74,255-40,884,803-204,424,015

More Examples

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