Q: What are the factor combinations of the number 3,621,245?

 A:
Positive:   1 x 36212455 x 72424943 x 84215215 x 16843
Negative: -1 x -3621245-5 x -724249-43 x -84215-215 x -16843


How do I find the factor combinations of the number 3,621,245?

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 3,621,245, 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 3,621,245
-1 -3,621,245

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 3,621,245.

Example:
1 x 3,621,245 = 3,621,245
and
-1 x -3,621,245 = 3,621,245
Notice both answers equal 3,621,245

With that explanation out of the way, let's continue. Next, we take the number 3,621,245 and divide it by 2:

3,621,245 ÷ 2 = 1,810,622.5

If the quotient is a whole number, then 2 and 1,810,622.5 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 3,621,245
-1 -3,621,245

Now, we try dividing 3,621,245 by 3:

3,621,245 ÷ 3 = 1,207,081.6667

If the quotient is a whole number, then 3 and 1,207,081.6667 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 3,621,245
-1 -3,621,245

Let's try dividing by 4:

3,621,245 ÷ 4 = 905,311.25

If the quotient is a whole number, then 4 and 905,311.25 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 3,621,245
-1 3,621,245
Keep dividing by the next highest number until you cannot divide anymore.

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

154321516,84384,215724,2493,621,245
-1-5-43-215-16,843-84,215-724,249-3,621,245

More Examples

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