Q: What are the factor combinations of the number 3,707,165?

 A:
Positive:   1 x 37071655 x 7414337 x 52959511 x 33701535 x 10591955 x 6740377 x 48145385 x 9629
Negative: -1 x -3707165-5 x -741433-7 x -529595-11 x -337015-35 x -105919-55 x -67403-77 x -48145-385 x -9629


How do I find the factor combinations of the number 3,707,165?

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 3,707,165, 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 3,707,165
-1 -3,707,165

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 3,707,165.

Example:
1 x 3,707,165 = 3,707,165
and
-1 x -3,707,165 = 3,707,165
Notice both answers equal 3,707,165

With that explanation out of the way, let's continue. Next, we take the number 3,707,165 and divide it by 2:

3,707,165 ÷ 2 = 1,853,582.5

If the quotient is a whole number, then 2 and 1,853,582.5 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 3,707,165
-1 -3,707,165

Now, we try dividing 3,707,165 by 3:

3,707,165 ÷ 3 = 1,235,721.6667

If the quotient is a whole number, then 3 and 1,235,721.6667 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 3,707,165
-1 -3,707,165

Let's try dividing by 4:

3,707,165 ÷ 4 = 926,791.25

If the quotient is a whole number, then 4 and 926,791.25 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 3,707,165
-1 3,707,165
Keep dividing by the next highest number until you cannot divide anymore.

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

157113555773859,62948,14567,403105,919337,015529,595741,4333,707,165
-1-5-7-11-35-55-77-385-9,629-48,145-67,403-105,919-337,015-529,595-741,433-3,707,165

More Examples

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