Q: What are the factor combinations of the number 8,503,675?

 A:
Positive:   1 x 85036755 x 170073523 x 36972525 x 340147115 x 73945529 x 16075575 x 14789643 x 132252645 x 3215
Negative: -1 x -8503675-5 x -1700735-23 x -369725-25 x -340147-115 x -73945-529 x -16075-575 x -14789-643 x -13225-2645 x -3215


How do I find the factor combinations of the number 8,503,675?

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 8,503,675, 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 8,503,675
-1 -8,503,675

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 8,503,675.

Example:
1 x 8,503,675 = 8,503,675
and
-1 x -8,503,675 = 8,503,675
Notice both answers equal 8,503,675

With that explanation out of the way, let's continue. Next, we take the number 8,503,675 and divide it by 2:

8,503,675 ÷ 2 = 4,251,837.5

If the quotient is a whole number, then 2 and 4,251,837.5 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 8,503,675
-1 -8,503,675

Now, we try dividing 8,503,675 by 3:

8,503,675 ÷ 3 = 2,834,558.3333

If the quotient is a whole number, then 3 and 2,834,558.3333 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 8,503,675
-1 -8,503,675

Let's try dividing by 4:

8,503,675 ÷ 4 = 2,125,918.75

If the quotient is a whole number, then 4 and 2,125,918.75 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 8,503,675
-1 8,503,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1523251155295756432,6453,21513,22514,78916,07573,945340,147369,7251,700,7358,503,675
-1-5-23-25-115-529-575-643-2,645-3,215-13,225-14,789-16,075-73,945-340,147-369,725-1,700,735-8,503,675

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