Q: What are the factor combinations of the number 7,031,575?

 A:
Positive:   1 x 70315755 x 140631525 x 28126331 x 22682543 x 163525155 x 45365211 x 33325215 x 32705775 x 90731055 x 66651075 x 65411333 x 5275
Negative: -1 x -7031575-5 x -1406315-25 x -281263-31 x -226825-43 x -163525-155 x -45365-211 x -33325-215 x -32705-775 x -9073-1055 x -6665-1075 x -6541-1333 x -5275


How do I find the factor combinations of the number 7,031,575?

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 7,031,575, 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 7,031,575
-1 -7,031,575

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 7,031,575.

Example:
1 x 7,031,575 = 7,031,575
and
-1 x -7,031,575 = 7,031,575
Notice both answers equal 7,031,575

With that explanation out of the way, let's continue. Next, we take the number 7,031,575 and divide it by 2:

7,031,575 ÷ 2 = 3,515,787.5

If the quotient is a whole number, then 2 and 3,515,787.5 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 7,031,575
-1 -7,031,575

Now, we try dividing 7,031,575 by 3:

7,031,575 ÷ 3 = 2,343,858.3333

If the quotient is a whole number, then 3 and 2,343,858.3333 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 7,031,575
-1 -7,031,575

Let's try dividing by 4:

7,031,575 ÷ 4 = 1,757,893.75

If the quotient is a whole number, then 4 and 1,757,893.75 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 7,031,575
-1 7,031,575
Keep dividing by the next highest number until you cannot divide anymore.

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

152531431552112157751,0551,0751,3335,2756,5416,6659,07332,70533,32545,365163,525226,825281,2631,406,3157,031,575
-1-5-25-31-43-155-211-215-775-1,055-1,075-1,333-5,275-6,541-6,665-9,073-32,705-33,325-45,365-163,525-226,825-281,263-1,406,315-7,031,575

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