Q: What are the factor combinations of the number 1,180,949?

 A:
Positive:   1 x 11809497 x 16870711 x 10735949 x 2410177 x 15337313 x 3773343 x 3443539 x 2191
Negative: -1 x -1180949-7 x -168707-11 x -107359-49 x -24101-77 x -15337-313 x -3773-343 x -3443-539 x -2191


How do I find the factor combinations of the number 1,180,949?

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 1,180,949, 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 1,180,949
-1 -1,180,949

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 1,180,949.

Example:
1 x 1,180,949 = 1,180,949
and
-1 x -1,180,949 = 1,180,949
Notice both answers equal 1,180,949

With that explanation out of the way, let's continue. Next, we take the number 1,180,949 and divide it by 2:

1,180,949 ÷ 2 = 590,474.5

If the quotient is a whole number, then 2 and 590,474.5 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 1,180,949
-1 -1,180,949

Now, we try dividing 1,180,949 by 3:

1,180,949 ÷ 3 = 393,649.6667

If the quotient is a whole number, then 3 and 393,649.6667 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 1,180,949
-1 -1,180,949

Let's try dividing by 4:

1,180,949 ÷ 4 = 295,237.25

If the quotient is a whole number, then 4 and 295,237.25 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 1,180,949
-1 1,180,949
Keep dividing by the next highest number until you cannot divide anymore.

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

171149773133435392,1913,4433,77315,33724,101107,359168,7071,180,949
-1-7-11-49-77-313-343-539-2,191-3,443-3,773-15,337-24,101-107,359-168,707-1,180,949

More Examples

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