Q: What are the factor combinations of the number 8,501,275?

 A:
Positive:   1 x 85012755 x 170025517 x 50007525 x 34005183 x 10242585 x 100015241 x 35275415 x 20485425 x 200031205 x 70551411 x 60252075 x 4097
Negative: -1 x -8501275-5 x -1700255-17 x -500075-25 x -340051-83 x -102425-85 x -100015-241 x -35275-415 x -20485-425 x -20003-1205 x -7055-1411 x -6025-2075 x -4097


How do I find the factor combinations of the number 8,501,275?

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 8,501,275, 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 8,501,275
-1 -8,501,275

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 8,501,275.

Example:
1 x 8,501,275 = 8,501,275
and
-1 x -8,501,275 = 8,501,275
Notice both answers equal 8,501,275

With that explanation out of the way, let's continue. Next, we take the number 8,501,275 and divide it by 2:

8,501,275 ÷ 2 = 4,250,637.5

If the quotient is a whole number, then 2 and 4,250,637.5 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 8,501,275
-1 -8,501,275

Now, we try dividing 8,501,275 by 3:

8,501,275 ÷ 3 = 2,833,758.3333

If the quotient is a whole number, then 3 and 2,833,758.3333 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 8,501,275
-1 -8,501,275

Let's try dividing by 4:

8,501,275 ÷ 4 = 2,125,318.75

If the quotient is a whole number, then 4 and 2,125,318.75 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 8,501,275
-1 8,501,275
Keep dividing by the next highest number until you cannot divide anymore.

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

15172583852414154251,2051,4112,0754,0976,0257,05520,00320,48535,275100,015102,425340,051500,0751,700,2558,501,275
-1-5-17-25-83-85-241-415-425-1,205-1,411-2,075-4,097-6,025-7,055-20,003-20,485-35,275-100,015-102,425-340,051-500,075-1,700,255-8,501,275

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