Q: What are the factor combinations of the number 1,177,969?

 A:
Positive:   1 x 117796913 x 9061331 x 3799937 x 3183779 x 14911403 x 2923481 x 24491027 x 1147
Negative: -1 x -1177969-13 x -90613-31 x -37999-37 x -31837-79 x -14911-403 x -2923-481 x -2449-1027 x -1147


How do I find the factor combinations of the number 1,177,969?

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 1,177,969, 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 1,177,969
-1 -1,177,969

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 1,177,969.

Example:
1 x 1,177,969 = 1,177,969
and
-1 x -1,177,969 = 1,177,969
Notice both answers equal 1,177,969

With that explanation out of the way, let's continue. Next, we take the number 1,177,969 and divide it by 2:

1,177,969 ÷ 2 = 588,984.5

If the quotient is a whole number, then 2 and 588,984.5 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 1,177,969
-1 -1,177,969

Now, we try dividing 1,177,969 by 3:

1,177,969 ÷ 3 = 392,656.3333

If the quotient is a whole number, then 3 and 392,656.3333 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 1,177,969
-1 -1,177,969

Let's try dividing by 4:

1,177,969 ÷ 4 = 294,492.25

If the quotient is a whole number, then 4 and 294,492.25 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 1,177,969
-1 1,177,969
Keep dividing by the next highest number until you cannot divide anymore.

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

1133137794034811,0271,1472,4492,92314,91131,83737,99990,6131,177,969
-1-13-31-37-79-403-481-1,027-1,147-2,449-2,923-14,911-31,837-37,999-90,613-1,177,969

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