Q: What are the factor combinations of the number 9,001,675?

 A:
Positive:   1 x 90016755 x 180033525 x 36006747 x 191525163 x 55225235 x 38305815 x 110451175 x 76612209 x 4075
Negative: -1 x -9001675-5 x -1800335-25 x -360067-47 x -191525-163 x -55225-235 x -38305-815 x -11045-1175 x -7661-2209 x -4075


How do I find the factor combinations of the number 9,001,675?

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 9,001,675, 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 9,001,675
-1 -9,001,675

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 9,001,675.

Example:
1 x 9,001,675 = 9,001,675
and
-1 x -9,001,675 = 9,001,675
Notice both answers equal 9,001,675

With that explanation out of the way, let's continue. Next, we take the number 9,001,675 and divide it by 2:

9,001,675 ÷ 2 = 4,500,837.5

If the quotient is a whole number, then 2 and 4,500,837.5 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 9,001,675
-1 -9,001,675

Now, we try dividing 9,001,675 by 3:

9,001,675 ÷ 3 = 3,000,558.3333

If the quotient is a whole number, then 3 and 3,000,558.3333 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 9,001,675
-1 -9,001,675

Let's try dividing by 4:

9,001,675 ÷ 4 = 2,250,418.75

If the quotient is a whole number, then 4 and 2,250,418.75 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 9,001,675
-1 9,001,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1525471632358151,1752,2094,0757,66111,04538,30555,225191,525360,0671,800,3359,001,675
-1-5-25-47-163-235-815-1,175-2,209-4,075-7,661-11,045-38,305-55,225-191,525-360,067-1,800,335-9,001,675

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