Q: What are the factor combinations of the number 7,236,775?

 A:
Positive:   1 x 72367755 x 14473557 x 103382513 x 55667525 x 28947135 x 20676565 x 11133591 x 79525175 x 41353325 x 22267455 x 159052275 x 3181
Negative: -1 x -7236775-5 x -1447355-7 x -1033825-13 x -556675-25 x -289471-35 x -206765-65 x -111335-91 x -79525-175 x -41353-325 x -22267-455 x -15905-2275 x -3181


How do I find the factor combinations of the number 7,236,775?

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 7,236,775, 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 7,236,775
-1 -7,236,775

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 7,236,775.

Example:
1 x 7,236,775 = 7,236,775
and
-1 x -7,236,775 = 7,236,775
Notice both answers equal 7,236,775

With that explanation out of the way, let's continue. Next, we take the number 7,236,775 and divide it by 2:

7,236,775 ÷ 2 = 3,618,387.5

If the quotient is a whole number, then 2 and 3,618,387.5 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 7,236,775
-1 -7,236,775

Now, we try dividing 7,236,775 by 3:

7,236,775 ÷ 3 = 2,412,258.3333

If the quotient is a whole number, then 3 and 2,412,258.3333 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 7,236,775
-1 -7,236,775

Let's try dividing by 4:

7,236,775 ÷ 4 = 1,809,193.75

If the quotient is a whole number, then 4 and 1,809,193.75 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 7,236,775
-1 7,236,775
Keep dividing by the next highest number until you cannot divide anymore.

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

15713253565911753254552,2753,18115,90522,26741,35379,525111,335206,765289,471556,6751,033,8251,447,3557,236,775
-1-5-7-13-25-35-65-91-175-325-455-2,275-3,181-15,905-22,267-41,353-79,525-111,335-206,765-289,471-556,675-1,033,825-1,447,355-7,236,775

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