Q: What are the factor combinations of the number 3,108,743?

 A:
Positive:   1 x 310874311 x 28261341 x 7582361 x 50963113 x 27511451 x 6893671 x 46331243 x 2501
Negative: -1 x -3108743-11 x -282613-41 x -75823-61 x -50963-113 x -27511-451 x -6893-671 x -4633-1243 x -2501


How do I find the factor combinations of the number 3,108,743?

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 3,108,743, 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 3,108,743
-1 -3,108,743

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 3,108,743.

Example:
1 x 3,108,743 = 3,108,743
and
-1 x -3,108,743 = 3,108,743
Notice both answers equal 3,108,743

With that explanation out of the way, let's continue. Next, we take the number 3,108,743 and divide it by 2:

3,108,743 ÷ 2 = 1,554,371.5

If the quotient is a whole number, then 2 and 1,554,371.5 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 3,108,743
-1 -3,108,743

Now, we try dividing 3,108,743 by 3:

3,108,743 ÷ 3 = 1,036,247.6667

If the quotient is a whole number, then 3 and 1,036,247.6667 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 3,108,743
-1 -3,108,743

Let's try dividing by 4:

3,108,743 ÷ 4 = 777,185.75

If the quotient is a whole number, then 4 and 777,185.75 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 3,108,743
-1 3,108,743
Keep dividing by the next highest number until you cannot divide anymore.

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

11141611134516711,2432,5014,6336,89327,51150,96375,823282,6133,108,743
-1-11-41-61-113-451-671-1,243-2,501-4,633-6,893-27,511-50,963-75,823-282,613-3,108,743

More Examples

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