Q: What are the factor combinations of the number 8,008,175?

 A:
Positive:   1 x 80081755 x 16016357 x 114402525 x 32032735 x 22880567 x 119525175 x 45761335 x 23905469 x 17075683 x 117251675 x 47812345 x 3415
Negative: -1 x -8008175-5 x -1601635-7 x -1144025-25 x -320327-35 x -228805-67 x -119525-175 x -45761-335 x -23905-469 x -17075-683 x -11725-1675 x -4781-2345 x -3415


How do I find the factor combinations of the number 8,008,175?

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 8,008,175, 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 8,008,175
-1 -8,008,175

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 8,008,175.

Example:
1 x 8,008,175 = 8,008,175
and
-1 x -8,008,175 = 8,008,175
Notice both answers equal 8,008,175

With that explanation out of the way, let's continue. Next, we take the number 8,008,175 and divide it by 2:

8,008,175 ÷ 2 = 4,004,087.5

If the quotient is a whole number, then 2 and 4,004,087.5 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 8,008,175
-1 -8,008,175

Now, we try dividing 8,008,175 by 3:

8,008,175 ÷ 3 = 2,669,391.6667

If the quotient is a whole number, then 3 and 2,669,391.6667 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 8,008,175
-1 -8,008,175

Let's try dividing by 4:

8,008,175 ÷ 4 = 2,002,043.75

If the quotient is a whole number, then 4 and 2,002,043.75 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 8,008,175
-1 8,008,175
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535671753354696831,6752,3453,4154,78111,72517,07523,90545,761119,525228,805320,3271,144,0251,601,6358,008,175
-1-5-7-25-35-67-175-335-469-683-1,675-2,345-3,415-4,781-11,725-17,075-23,905-45,761-119,525-228,805-320,327-1,144,025-1,601,635-8,008,175

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