Q: What are the factor combinations of the number 3,040,037?

 A:
Positive:   1 x 30400377 x 43429111 x 27636713 x 23384977 x 3948191 x 33407143 x 212591001 x 3037
Negative: -1 x -3040037-7 x -434291-11 x -276367-13 x -233849-77 x -39481-91 x -33407-143 x -21259-1001 x -3037


How do I find the factor combinations of the number 3,040,037?

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 3,040,037, 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 3,040,037
-1 -3,040,037

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 3,040,037.

Example:
1 x 3,040,037 = 3,040,037
and
-1 x -3,040,037 = 3,040,037
Notice both answers equal 3,040,037

With that explanation out of the way, let's continue. Next, we take the number 3,040,037 and divide it by 2:

3,040,037 ÷ 2 = 1,520,018.5

If the quotient is a whole number, then 2 and 1,520,018.5 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 3,040,037
-1 -3,040,037

Now, we try dividing 3,040,037 by 3:

3,040,037 ÷ 3 = 1,013,345.6667

If the quotient is a whole number, then 3 and 1,013,345.6667 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 3,040,037
-1 -3,040,037

Let's try dividing by 4:

3,040,037 ÷ 4 = 760,009.25

If the quotient is a whole number, then 4 and 760,009.25 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 3,040,037
-1 3,040,037
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911431,0013,03721,25933,40739,481233,849276,367434,2913,040,037
-1-7-11-13-77-91-143-1,001-3,037-21,259-33,407-39,481-233,849-276,367-434,291-3,040,037

More Examples

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