Q: What are the factor combinations of the number 26,423,929?

 A:
Positive:   1 x 264239297 x 377484767 x 394387103 x 256543469 x 56341547 x 48307721 x 366493829 x 6901
Negative: -1 x -26423929-7 x -3774847-67 x -394387-103 x -256543-469 x -56341-547 x -48307-721 x -36649-3829 x -6901


How do I find the factor combinations of the number 26,423,929?

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 26,423,929, 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 26,423,929
-1 -26,423,929

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 26,423,929.

Example:
1 x 26,423,929 = 26,423,929
and
-1 x -26,423,929 = 26,423,929
Notice both answers equal 26,423,929

With that explanation out of the way, let's continue. Next, we take the number 26,423,929 and divide it by 2:

26,423,929 ÷ 2 = 13,211,964.5

If the quotient is a whole number, then 2 and 13,211,964.5 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 26,423,929
-1 -26,423,929

Now, we try dividing 26,423,929 by 3:

26,423,929 ÷ 3 = 8,807,976.3333

If the quotient is a whole number, then 3 and 8,807,976.3333 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 26,423,929
-1 -26,423,929

Let's try dividing by 4:

26,423,929 ÷ 4 = 6,605,982.25

If the quotient is a whole number, then 4 and 6,605,982.25 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 26,423,929
-1 26,423,929
Keep dividing by the next highest number until you cannot divide anymore.

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

17671034695477213,8296,90136,64948,30756,341256,543394,3873,774,84726,423,929
-1-7-67-103-469-547-721-3,829-6,901-36,649-48,307-56,341-256,543-394,387-3,774,847-26,423,929

More Examples

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