Q: What are the factor combinations of the number 123,665,425?

 A:
Positive:   1 x 1236654255 x 2473308513 x 951272525 x 494661729 x 426432565 x 1902545145 x 852865325 x 380509377 x 328025725 x 1705731885 x 656059425 x 13121
Negative: -1 x -123665425-5 x -24733085-13 x -9512725-25 x -4946617-29 x -4264325-65 x -1902545-145 x -852865-325 x -380509-377 x -328025-725 x -170573-1885 x -65605-9425 x -13121


How do I find the factor combinations of the number 123,665,425?

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 123,665,425, 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.

1 123,665,425
-1 -123,665,425

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 123,665,425.

Example:
1 x 123,665,425 = 123,665,425
and
-1 x -123,665,425 = 123,665,425
Notice both answers equal 123,665,425

With that explanation out of the way, let's continue. Next, we take the number 123,665,425 and divide it by 2:

123,665,425 ÷ 2 = 61,832,712.5

If the quotient is a whole number, then 2 and 61,832,712.5 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:

1 123,665,425
-1 -123,665,425

Now, we try dividing 123,665,425 by 3:

123,665,425 ÷ 3 = 41,221,808.3333

If the quotient is a whole number, then 3 and 41,221,808.3333 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:

1 123,665,425
-1 -123,665,425

Let's try dividing by 4:

123,665,425 ÷ 4 = 30,916,356.25

If the quotient is a whole number, then 4 and 30,916,356.25 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:

1 123,665,425
-1 123,665,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15132529651453253777251,8859,42513,12165,605170,573328,025380,509852,8651,902,5454,264,3254,946,6179,512,72524,733,085123,665,425
-1-5-13-25-29-65-145-325-377-725-1,885-9,425-13,121-65,605-170,573-328,025-380,509-852,865-1,902,545-4,264,325-4,946,617-9,512,725-24,733,085-123,665,425

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