Q: What are the factor combinations of the number 78,826,969?

 A:
Positive:   1 x 7882696913 x 606361341 x 192260971 x 1110239533 x 147893923 x 854032083 x 378432911 x 27079
Negative: -1 x -78826969-13 x -6063613-41 x -1922609-71 x -1110239-533 x -147893-923 x -85403-2083 x -37843-2911 x -27079


How do I find the factor combinations of the number 78,826,969?

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 78,826,969, 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 78,826,969
-1 -78,826,969

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 78,826,969.

Example:
1 x 78,826,969 = 78,826,969
and
-1 x -78,826,969 = 78,826,969
Notice both answers equal 78,826,969

With that explanation out of the way, let's continue. Next, we take the number 78,826,969 and divide it by 2:

78,826,969 ÷ 2 = 39,413,484.5

If the quotient is a whole number, then 2 and 39,413,484.5 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 78,826,969
-1 -78,826,969

Now, we try dividing 78,826,969 by 3:

78,826,969 ÷ 3 = 26,275,656.3333

If the quotient is a whole number, then 3 and 26,275,656.3333 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 78,826,969
-1 -78,826,969

Let's try dividing by 4:

78,826,969 ÷ 4 = 19,706,742.25

If the quotient is a whole number, then 4 and 19,706,742.25 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 78,826,969
-1 78,826,969
Keep dividing by the next highest number until you cannot divide anymore.

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

11341715339232,0832,91127,07937,84385,403147,8931,110,2391,922,6096,063,61378,826,969
-1-13-41-71-533-923-2,083-2,911-27,079-37,843-85,403-147,893-1,110,239-1,922,609-6,063,613-78,826,969

More Examples

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