Q: What are the factor combinations of the number 120,465,433?

 A:
Positive:   1 x 12046543311 x 1095140359 x 2041787419 x 287507443 x 271931649 x 1856174609 x 261374873 x 24721
Negative: -1 x -120465433-11 x -10951403-59 x -2041787-419 x -287507-443 x -271931-649 x -185617-4609 x -26137-4873 x -24721


How do I find the factor combinations of the number 120,465,433?

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 120,465,433, 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.

1 120,465,433
-1 -120,465,433

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 120,465,433.

Example:
1 x 120,465,433 = 120,465,433
and
-1 x -120,465,433 = 120,465,433
Notice both answers equal 120,465,433

With that explanation out of the way, let's continue. Next, we take the number 120,465,433 and divide it by 2:

120,465,433 ÷ 2 = 60,232,716.5

If the quotient is a whole number, then 2 and 60,232,716.5 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:

1 120,465,433
-1 -120,465,433

Now, we try dividing 120,465,433 by 3:

120,465,433 ÷ 3 = 40,155,144.3333

If the quotient is a whole number, then 3 and 40,155,144.3333 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:

1 120,465,433
-1 -120,465,433

Let's try dividing by 4:

120,465,433 ÷ 4 = 30,116,358.25

If the quotient is a whole number, then 4 and 30,116,358.25 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:

1 120,465,433
-1 120,465,433
Keep dividing by the next highest number until you cannot divide anymore.

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

111594194436494,6094,87324,72126,137185,617271,931287,5072,041,78710,951,403120,465,433
-1-11-59-419-443-649-4,609-4,873-24,721-26,137-185,617-271,931-287,507-2,041,787-10,951,403-120,465,433

More Examples

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