Q: What are the factor combinations of the number 3,621,995?

 A:
Positive:   1 x 36219955 x 72439913 x 27861565 x 55723103 x 35165515 x 7033541 x 66951339 x 2705
Negative: -1 x -3621995-5 x -724399-13 x -278615-65 x -55723-103 x -35165-515 x -7033-541 x -6695-1339 x -2705


How do I find the factor combinations of the number 3,621,995?

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 3,621,995, 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 3,621,995
-1 -3,621,995

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 3,621,995.

Example:
1 x 3,621,995 = 3,621,995
and
-1 x -3,621,995 = 3,621,995
Notice both answers equal 3,621,995

With that explanation out of the way, let's continue. Next, we take the number 3,621,995 and divide it by 2:

3,621,995 ÷ 2 = 1,810,997.5

If the quotient is a whole number, then 2 and 1,810,997.5 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 3,621,995
-1 -3,621,995

Now, we try dividing 3,621,995 by 3:

3,621,995 ÷ 3 = 1,207,331.6667

If the quotient is a whole number, then 3 and 1,207,331.6667 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 3,621,995
-1 -3,621,995

Let's try dividing by 4:

3,621,995 ÷ 4 = 905,498.75

If the quotient is a whole number, then 4 and 905,498.75 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 3,621,995
-1 3,621,995
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651035155411,3392,7056,6957,03335,16555,723278,615724,3993,621,995
-1-5-13-65-103-515-541-1,339-2,705-6,695-7,033-35,165-55,723-278,615-724,399-3,621,995

More Examples

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