Q: What are the factor combinations of the number 2,423,735?

 A:
Positive:   1 x 24237355 x 48474719 x 12756531 x 7818595 x 25513155 x 15637589 x 4115823 x 2945
Negative: -1 x -2423735-5 x -484747-19 x -127565-31 x -78185-95 x -25513-155 x -15637-589 x -4115-823 x -2945


How do I find the factor combinations of the number 2,423,735?

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 2,423,735, 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 2,423,735
-1 -2,423,735

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 2,423,735.

Example:
1 x 2,423,735 = 2,423,735
and
-1 x -2,423,735 = 2,423,735
Notice both answers equal 2,423,735

With that explanation out of the way, let's continue. Next, we take the number 2,423,735 and divide it by 2:

2,423,735 ÷ 2 = 1,211,867.5

If the quotient is a whole number, then 2 and 1,211,867.5 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 2,423,735
-1 -2,423,735

Now, we try dividing 2,423,735 by 3:

2,423,735 ÷ 3 = 807,911.6667

If the quotient is a whole number, then 3 and 807,911.6667 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 2,423,735
-1 -2,423,735

Let's try dividing by 4:

2,423,735 ÷ 4 = 605,933.75

If the quotient is a whole number, then 4 and 605,933.75 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 2,423,735
-1 2,423,735
Keep dividing by the next highest number until you cannot divide anymore.

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

151931951555898232,9454,11515,63725,51378,185127,565484,7472,423,735
-1-5-19-31-95-155-589-823-2,945-4,115-15,637-25,513-78,185-127,565-484,747-2,423,735

More Examples

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