Q: What are the factor combinations of the number 122,015,455?

 A:
Positive:   1 x 1220154555 x 2440309137 x 3297715185 x 659543293 x 4164351465 x 832872251 x 5420510841 x 11255
Negative: -1 x -122015455-5 x -24403091-37 x -3297715-185 x -659543-293 x -416435-1465 x -83287-2251 x -54205-10841 x -11255


How do I find the factor combinations of the number 122,015,455?

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 122,015,455, 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.

1 122,015,455
-1 -122,015,455

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 122,015,455.

Example:
1 x 122,015,455 = 122,015,455
and
-1 x -122,015,455 = 122,015,455
Notice both answers equal 122,015,455

With that explanation out of the way, let's continue. Next, we take the number 122,015,455 and divide it by 2:

122,015,455 ÷ 2 = 61,007,727.5

If the quotient is a whole number, then 2 and 61,007,727.5 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:

1 122,015,455
-1 -122,015,455

Now, we try dividing 122,015,455 by 3:

122,015,455 ÷ 3 = 40,671,818.3333

If the quotient is a whole number, then 3 and 40,671,818.3333 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:

1 122,015,455
-1 -122,015,455

Let's try dividing by 4:

122,015,455 ÷ 4 = 30,503,863.75

If the quotient is a whole number, then 4 and 30,503,863.75 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:

1 122,015,455
-1 122,015,455
Keep dividing by the next highest number until you cannot divide anymore.

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

15371852931,4652,25110,84111,25554,20583,287416,435659,5433,297,71524,403,091122,015,455
-1-5-37-185-293-1,465-2,251-10,841-11,255-54,205-83,287-416,435-659,543-3,297,715-24,403,091-122,015,455

More Examples

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