Q: What are the factor combinations of the number 26,242,013?

 A:
Positive:   1 x 262420137 x 374885929 x 904897203 x 129271257 x 102109503 x 521711799 x 145873521 x 7453
Negative: -1 x -26242013-7 x -3748859-29 x -904897-203 x -129271-257 x -102109-503 x -52171-1799 x -14587-3521 x -7453


How do I find the factor combinations of the number 26,242,013?

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 26,242,013, 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 26,242,013
-1 -26,242,013

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 26,242,013.

Example:
1 x 26,242,013 = 26,242,013
and
-1 x -26,242,013 = 26,242,013
Notice both answers equal 26,242,013

With that explanation out of the way, let's continue. Next, we take the number 26,242,013 and divide it by 2:

26,242,013 ÷ 2 = 13,121,006.5

If the quotient is a whole number, then 2 and 13,121,006.5 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 26,242,013
-1 -26,242,013

Now, we try dividing 26,242,013 by 3:

26,242,013 ÷ 3 = 8,747,337.6667

If the quotient is a whole number, then 3 and 8,747,337.6667 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 26,242,013
-1 -26,242,013

Let's try dividing by 4:

26,242,013 ÷ 4 = 6,560,503.25

If the quotient is a whole number, then 4 and 6,560,503.25 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 26,242,013
-1 26,242,013
Keep dividing by the next highest number until you cannot divide anymore.

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

17292032575031,7993,5217,45314,58752,171102,109129,271904,8973,748,85926,242,013
-1-7-29-203-257-503-1,799-3,521-7,453-14,587-52,171-102,109-129,271-904,897-3,748,859-26,242,013

More Examples

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