Q: What are the factor combinations of the number 3,003,875?

 A:
Positive:   1 x 30038755 x 6007757 x 42912525 x 12015535 x 85825125 x 24031175 x 17165875 x 3433
Negative: -1 x -3003875-5 x -600775-7 x -429125-25 x -120155-35 x -85825-125 x -24031-175 x -17165-875 x -3433


How do I find the factor combinations of the number 3,003,875?

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 3,003,875, 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 3,003,875
-1 -3,003,875

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 3,003,875.

Example:
1 x 3,003,875 = 3,003,875
and
-1 x -3,003,875 = 3,003,875
Notice both answers equal 3,003,875

With that explanation out of the way, let's continue. Next, we take the number 3,003,875 and divide it by 2:

3,003,875 ÷ 2 = 1,501,937.5

If the quotient is a whole number, then 2 and 1,501,937.5 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 3,003,875
-1 -3,003,875

Now, we try dividing 3,003,875 by 3:

3,003,875 ÷ 3 = 1,001,291.6667

If the quotient is a whole number, then 3 and 1,001,291.6667 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 3,003,875
-1 -3,003,875

Let's try dividing by 4:

3,003,875 ÷ 4 = 750,968.75

If the quotient is a whole number, then 4 and 750,968.75 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 3,003,875
-1 3,003,875
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351251758753,43317,16524,03185,825120,155429,125600,7753,003,875
-1-5-7-25-35-125-175-875-3,433-17,165-24,031-85,825-120,155-429,125-600,775-3,003,875

More Examples

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