Q: What are the factor combinations of the number 121,552,615?

 A:
Positive:   1 x 1215526155 x 2431052343 x 2826805215 x 565361
Negative: -1 x -121552615-5 x -24310523-43 x -2826805-215 x -565361


How do I find the factor combinations of the number 121,552,615?

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 121,552,615, 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.

1 121,552,615
-1 -121,552,615

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 121,552,615.

Example:
1 x 121,552,615 = 121,552,615
and
-1 x -121,552,615 = 121,552,615
Notice both answers equal 121,552,615

With that explanation out of the way, let's continue. Next, we take the number 121,552,615 and divide it by 2:

121,552,615 ÷ 2 = 60,776,307.5

If the quotient is a whole number, then 2 and 60,776,307.5 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:

1 121,552,615
-1 -121,552,615

Now, we try dividing 121,552,615 by 3:

121,552,615 ÷ 3 = 40,517,538.3333

If the quotient is a whole number, then 3 and 40,517,538.3333 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:

1 121,552,615
-1 -121,552,615

Let's try dividing by 4:

121,552,615 ÷ 4 = 30,388,153.75

If the quotient is a whole number, then 4 and 30,388,153.75 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:

1 121,552,615
-1 121,552,615
Keep dividing by the next highest number until you cannot divide anymore.

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

1543215565,3612,826,80524,310,523121,552,615
-1-5-43-215-565,361-2,826,805-24,310,523-121,552,615

More Examples

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