Q: What are the factor combinations of the number 2,437,747?

 A:
Positive:   1 x 243774713 x 18751923 x 10598931 x 78637263 x 9269299 x 8153403 x 6049713 x 3419
Negative: -1 x -2437747-13 x -187519-23 x -105989-31 x -78637-263 x -9269-299 x -8153-403 x -6049-713 x -3419


How do I find the factor combinations of the number 2,437,747?

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 2,437,747, 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 2,437,747
-1 -2,437,747

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 2,437,747.

Example:
1 x 2,437,747 = 2,437,747
and
-1 x -2,437,747 = 2,437,747
Notice both answers equal 2,437,747

With that explanation out of the way, let's continue. Next, we take the number 2,437,747 and divide it by 2:

2,437,747 ÷ 2 = 1,218,873.5

If the quotient is a whole number, then 2 and 1,218,873.5 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 2,437,747
-1 -2,437,747

Now, we try dividing 2,437,747 by 3:

2,437,747 ÷ 3 = 812,582.3333

If the quotient is a whole number, then 3 and 812,582.3333 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 2,437,747
-1 -2,437,747

Let's try dividing by 4:

2,437,747 ÷ 4 = 609,436.75

If the quotient is a whole number, then 4 and 609,436.75 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 2,437,747
-1 2,437,747
Keep dividing by the next highest number until you cannot divide anymore.

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

11323312632994037133,4196,0498,1539,26978,637105,989187,5192,437,747
-1-13-23-31-263-299-403-713-3,419-6,049-8,153-9,269-78,637-105,989-187,519-2,437,747

More Examples

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