Q: What are the factor combinations of the number 7,878,367?

 A:
Positive:   1 x 78783677 x 112548149 x 160783103 x 76489223 x 35329343 x 22969721 x 109271561 x 5047
Negative: -1 x -7878367-7 x -1125481-49 x -160783-103 x -76489-223 x -35329-343 x -22969-721 x -10927-1561 x -5047


How do I find the factor combinations of the number 7,878,367?

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 7,878,367, 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 7,878,367
-1 -7,878,367

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 7,878,367.

Example:
1 x 7,878,367 = 7,878,367
and
-1 x -7,878,367 = 7,878,367
Notice both answers equal 7,878,367

With that explanation out of the way, let's continue. Next, we take the number 7,878,367 and divide it by 2:

7,878,367 ÷ 2 = 3,939,183.5

If the quotient is a whole number, then 2 and 3,939,183.5 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 7,878,367
-1 -7,878,367

Now, we try dividing 7,878,367 by 3:

7,878,367 ÷ 3 = 2,626,122.3333

If the quotient is a whole number, then 3 and 2,626,122.3333 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 7,878,367
-1 -7,878,367

Let's try dividing by 4:

7,878,367 ÷ 4 = 1,969,591.75

If the quotient is a whole number, then 4 and 1,969,591.75 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 7,878,367
-1 7,878,367
Keep dividing by the next highest number until you cannot divide anymore.

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

17491032233437211,5615,04710,92722,96935,32976,489160,7831,125,4817,878,367
-1-7-49-103-223-343-721-1,561-5,047-10,927-22,969-35,329-76,489-160,783-1,125,481-7,878,367

More Examples

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