Q: What are the factor combinations of the number 10,750,675?

 A:
Positive:   1 x 107506755 x 215013513 x 82697519 x 56582525 x 43002765 x 16539595 x 113165247 x 43525325 x 33079475 x 226331235 x 87051741 x 6175
Negative: -1 x -10750675-5 x -2150135-13 x -826975-19 x -565825-25 x -430027-65 x -165395-95 x -113165-247 x -43525-325 x -33079-475 x -22633-1235 x -8705-1741 x -6175


How do I find the factor combinations of the number 10,750,675?

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 10,750,675, 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 10,750,675
-1 -10,750,675

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 10,750,675.

Example:
1 x 10,750,675 = 10,750,675
and
-1 x -10,750,675 = 10,750,675
Notice both answers equal 10,750,675

With that explanation out of the way, let's continue. Next, we take the number 10,750,675 and divide it by 2:

10,750,675 ÷ 2 = 5,375,337.5

If the quotient is a whole number, then 2 and 5,375,337.5 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 10,750,675
-1 -10,750,675

Now, we try dividing 10,750,675 by 3:

10,750,675 ÷ 3 = 3,583,558.3333

If the quotient is a whole number, then 3 and 3,583,558.3333 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 10,750,675
-1 -10,750,675

Let's try dividing by 4:

10,750,675 ÷ 4 = 2,687,668.75

If the quotient is a whole number, then 4 and 2,687,668.75 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 10,750,675
-1 10,750,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1513192565952473254751,2351,7416,1758,70522,63333,07943,525113,165165,395430,027565,825826,9752,150,13510,750,675
-1-5-13-19-25-65-95-247-325-475-1,235-1,741-6,175-8,705-22,633-33,079-43,525-113,165-165,395-430,027-565,825-826,975-2,150,135-10,750,675

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