Q: What are the factor combinations of the number 120,580,735?

 A:
Positive:   1 x 1205807355 x 2411614711 x 1096188555 x 2192377121 x 996535241 x 500335605 x 199307827 x 1458051205 x 1000672651 x 454854135 x 291619097 x 13255
Negative: -1 x -120580735-5 x -24116147-11 x -10961885-55 x -2192377-121 x -996535-241 x -500335-605 x -199307-827 x -145805-1205 x -100067-2651 x -45485-4135 x -29161-9097 x -13255


How do I find the factor combinations of the number 120,580,735?

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 120,580,735, 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.

1 120,580,735
-1 -120,580,735

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 120,580,735.

Example:
1 x 120,580,735 = 120,580,735
and
-1 x -120,580,735 = 120,580,735
Notice both answers equal 120,580,735

With that explanation out of the way, let's continue. Next, we take the number 120,580,735 and divide it by 2:

120,580,735 ÷ 2 = 60,290,367.5

If the quotient is a whole number, then 2 and 60,290,367.5 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:

1 120,580,735
-1 -120,580,735

Now, we try dividing 120,580,735 by 3:

120,580,735 ÷ 3 = 40,193,578.3333

If the quotient is a whole number, then 3 and 40,193,578.3333 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:

1 120,580,735
-1 -120,580,735

Let's try dividing by 4:

120,580,735 ÷ 4 = 30,145,183.75

If the quotient is a whole number, then 4 and 30,145,183.75 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:

1 120,580,735
-1 120,580,735
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551212416058271,2052,6514,1359,09713,25529,16145,485100,067145,805199,307500,335996,5352,192,37710,961,88524,116,147120,580,735
-1-5-11-55-121-241-605-827-1,205-2,651-4,135-9,097-13,255-29,161-45,485-100,067-145,805-199,307-500,335-996,535-2,192,377-10,961,885-24,116,147-120,580,735

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