Q: What are the factor combinations of the number 26,423,705?

 A:
Positive:   1 x 264237055 x 52847417 x 377481511 x 240215535 x 75496355 x 48043177 x 343165385 x 68633
Negative: -1 x -26423705-5 x -5284741-7 x -3774815-11 x -2402155-35 x -754963-55 x -480431-77 x -343165-385 x -68633


How do I find the factor combinations of the number 26,423,705?

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 26,423,705, 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 26,423,705
-1 -26,423,705

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 26,423,705.

Example:
1 x 26,423,705 = 26,423,705
and
-1 x -26,423,705 = 26,423,705
Notice both answers equal 26,423,705

With that explanation out of the way, let's continue. Next, we take the number 26,423,705 and divide it by 2:

26,423,705 ÷ 2 = 13,211,852.5

If the quotient is a whole number, then 2 and 13,211,852.5 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 26,423,705
-1 -26,423,705

Now, we try dividing 26,423,705 by 3:

26,423,705 ÷ 3 = 8,807,901.6667

If the quotient is a whole number, then 3 and 8,807,901.6667 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 26,423,705
-1 -26,423,705

Let's try dividing by 4:

26,423,705 ÷ 4 = 6,605,926.25

If the quotient is a whole number, then 4 and 6,605,926.25 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 26,423,705
-1 26,423,705
Keep dividing by the next highest number until you cannot divide anymore.

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

1571135557738568,633343,165480,431754,9632,402,1553,774,8155,284,74126,423,705
-1-5-7-11-35-55-77-385-68,633-343,165-480,431-754,963-2,402,155-3,774,815-5,284,741-26,423,705

More Examples

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