Q: What are the factor combinations of the number 4,009,135?

 A:
Positive:   1 x 40091355 x 80182713 x 30839537 x 10835565 x 61679185 x 21671481 x 83351667 x 2405
Negative: -1 x -4009135-5 x -801827-13 x -308395-37 x -108355-65 x -61679-185 x -21671-481 x -8335-1667 x -2405


How do I find the factor combinations of the number 4,009,135?

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 4,009,135, 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 4,009,135
-1 -4,009,135

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 4,009,135.

Example:
1 x 4,009,135 = 4,009,135
and
-1 x -4,009,135 = 4,009,135
Notice both answers equal 4,009,135

With that explanation out of the way, let's continue. Next, we take the number 4,009,135 and divide it by 2:

4,009,135 ÷ 2 = 2,004,567.5

If the quotient is a whole number, then 2 and 2,004,567.5 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 4,009,135
-1 -4,009,135

Now, we try dividing 4,009,135 by 3:

4,009,135 ÷ 3 = 1,336,378.3333

If the quotient is a whole number, then 3 and 1,336,378.3333 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 4,009,135
-1 -4,009,135

Let's try dividing by 4:

4,009,135 ÷ 4 = 1,002,283.75

If the quotient is a whole number, then 4 and 1,002,283.75 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 4,009,135
-1 4,009,135
Keep dividing by the next highest number until you cannot divide anymore.

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

151337651854811,6672,4058,33521,67161,679108,355308,395801,8274,009,135
-1-5-13-37-65-185-481-1,667-2,405-8,335-21,671-61,679-108,355-308,395-801,827-4,009,135

More Examples

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