Q: What are the factor combinations of the number 3,600,205?

 A:
Positive:   1 x 36002055 x 7200417 x 51431529 x 12414535 x 102863145 x 24829203 x 177351015 x 3547
Negative: -1 x -3600205-5 x -720041-7 x -514315-29 x -124145-35 x -102863-145 x -24829-203 x -17735-1015 x -3547


How do I find the factor combinations of the number 3,600,205?

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 3,600,205, 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 3,600,205
-1 -3,600,205

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 3,600,205.

Example:
1 x 3,600,205 = 3,600,205
and
-1 x -3,600,205 = 3,600,205
Notice both answers equal 3,600,205

With that explanation out of the way, let's continue. Next, we take the number 3,600,205 and divide it by 2:

3,600,205 ÷ 2 = 1,800,102.5

If the quotient is a whole number, then 2 and 1,800,102.5 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 3,600,205
-1 -3,600,205

Now, we try dividing 3,600,205 by 3:

3,600,205 ÷ 3 = 1,200,068.3333

If the quotient is a whole number, then 3 and 1,200,068.3333 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 3,600,205
-1 -3,600,205

Let's try dividing by 4:

3,600,205 ÷ 4 = 900,051.25

If the quotient is a whole number, then 4 and 900,051.25 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 3,600,205
-1 3,600,205
Keep dividing by the next highest number until you cannot divide anymore.

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

15729351452031,0153,54717,73524,829102,863124,145514,315720,0413,600,205
-1-5-7-29-35-145-203-1,015-3,547-17,735-24,829-102,863-124,145-514,315-720,041-3,600,205

More Examples

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