Q: What are the factor combinations of the number 775,075?

 A:
Positive:   1 x 7750755 x 1550157 x 11072525 x 3100335 x 2214543 x 18025103 x 7525175 x 4429215 x 3605301 x 2575515 x 1505721 x 1075
Negative: -1 x -775075-5 x -155015-7 x -110725-25 x -31003-35 x -22145-43 x -18025-103 x -7525-175 x -4429-215 x -3605-301 x -2575-515 x -1505-721 x -1075


How do I find the factor combinations of the number 775,075?

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 775,075, 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.

1 775,075
-1 -775,075

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 775,075.

Example:
1 x 775,075 = 775,075
and
-1 x -775,075 = 775,075
Notice both answers equal 775,075

With that explanation out of the way, let's continue. Next, we take the number 775,075 and divide it by 2:

775,075 ÷ 2 = 387,537.5

If the quotient is a whole number, then 2 and 387,537.5 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:

1 775,075
-1 -775,075

Now, we try dividing 775,075 by 3:

775,075 ÷ 3 = 258,358.3333

If the quotient is a whole number, then 3 and 258,358.3333 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:

1 775,075
-1 -775,075

Let's try dividing by 4:

775,075 ÷ 4 = 193,768.75

If the quotient is a whole number, then 4 and 193,768.75 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:

1 775,075
-1 775,075
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535431031752153015157211,0751,5052,5753,6054,4297,52518,02522,14531,003110,725155,015775,075
-1-5-7-25-35-43-103-175-215-301-515-721-1,075-1,505-2,575-3,605-4,429-7,525-18,025-22,145-31,003-110,725-155,015-775,075

More Examples

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