Q: What are the factor combinations of the number 122,317,565?

 A:
Positive:   1 x 1223175655 x 2446351323 x 5318155101 x 1211065115 x 1063631505 x 2422132323 x 5265510531 x 11615
Negative: -1 x -122317565-5 x -24463513-23 x -5318155-101 x -1211065-115 x -1063631-505 x -242213-2323 x -52655-10531 x -11615


How do I find the factor combinations of the number 122,317,565?

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 122,317,565, 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.

1 122,317,565
-1 -122,317,565

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 122,317,565.

Example:
1 x 122,317,565 = 122,317,565
and
-1 x -122,317,565 = 122,317,565
Notice both answers equal 122,317,565

With that explanation out of the way, let's continue. Next, we take the number 122,317,565 and divide it by 2:

122,317,565 ÷ 2 = 61,158,782.5

If the quotient is a whole number, then 2 and 61,158,782.5 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:

1 122,317,565
-1 -122,317,565

Now, we try dividing 122,317,565 by 3:

122,317,565 ÷ 3 = 40,772,521.6667

If the quotient is a whole number, then 3 and 40,772,521.6667 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:

1 122,317,565
-1 -122,317,565

Let's try dividing by 4:

122,317,565 ÷ 4 = 30,579,391.25

If the quotient is a whole number, then 4 and 30,579,391.25 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:

1 122,317,565
-1 122,317,565
Keep dividing by the next highest number until you cannot divide anymore.

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

15231011155052,32310,53111,61552,655242,2131,063,6311,211,0655,318,15524,463,513122,317,565
-1-5-23-101-115-505-2,323-10,531-11,615-52,655-242,213-1,063,631-1,211,065-5,318,155-24,463,513-122,317,565

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