Q: What are the factor combinations of the number 3,843,985?

 A:
Positive:   1 x 38439855 x 76879719 x 20231543 x 8939595 x 40463215 x 17879817 x 4705941 x 4085
Negative: -1 x -3843985-5 x -768797-19 x -202315-43 x -89395-95 x -40463-215 x -17879-817 x -4705-941 x -4085


How do I find the factor combinations of the number 3,843,985?

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 3,843,985, 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 3,843,985
-1 -3,843,985

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 3,843,985.

Example:
1 x 3,843,985 = 3,843,985
and
-1 x -3,843,985 = 3,843,985
Notice both answers equal 3,843,985

With that explanation out of the way, let's continue. Next, we take the number 3,843,985 and divide it by 2:

3,843,985 ÷ 2 = 1,921,992.5

If the quotient is a whole number, then 2 and 1,921,992.5 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 3,843,985
-1 -3,843,985

Now, we try dividing 3,843,985 by 3:

3,843,985 ÷ 3 = 1,281,328.3333

If the quotient is a whole number, then 3 and 1,281,328.3333 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 3,843,985
-1 -3,843,985

Let's try dividing by 4:

3,843,985 ÷ 4 = 960,996.25

If the quotient is a whole number, then 4 and 960,996.25 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 3,843,985
-1 3,843,985
Keep dividing by the next highest number until you cannot divide anymore.

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

151943952158179414,0854,70517,87940,46389,395202,315768,7973,843,985
-1-5-19-43-95-215-817-941-4,085-4,705-17,879-40,463-89,395-202,315-768,797-3,843,985

More Examples

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