Q: What are the factor combinations of the number 1,180,235?

 A:
Positive:   1 x 11802355 x 2360477 x 16860535 x 33721
Negative: -1 x -1180235-5 x -236047-7 x -168605-35 x -33721


How do I find the factor combinations of the number 1,180,235?

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 1,180,235, 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 1,180,235
-1 -1,180,235

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 1,180,235.

Example:
1 x 1,180,235 = 1,180,235
and
-1 x -1,180,235 = 1,180,235
Notice both answers equal 1,180,235

With that explanation out of the way, let's continue. Next, we take the number 1,180,235 and divide it by 2:

1,180,235 ÷ 2 = 590,117.5

If the quotient is a whole number, then 2 and 590,117.5 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 1,180,235
-1 -1,180,235

Now, we try dividing 1,180,235 by 3:

1,180,235 ÷ 3 = 393,411.6667

If the quotient is a whole number, then 3 and 393,411.6667 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 1,180,235
-1 -1,180,235

Let's try dividing by 4:

1,180,235 ÷ 4 = 295,058.75

If the quotient is a whole number, then 4 and 295,058.75 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 1,180,235
-1 1,180,235
Keep dividing by the next highest number until you cannot divide anymore.

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

1573533,721168,605236,0471,180,235
-1-5-7-35-33,721-168,605-236,047-1,180,235

More Examples

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