Q: What are the factor combinations of the number 26,462,425?

 A:
Positive:   1 x 264624255 x 529248511 x 240567525 x 105849741 x 64542555 x 481135205 x 129085275 x 96227451 x 586751025 x 258172255 x 117352347 x 11275
Negative: -1 x -26462425-5 x -5292485-11 x -2405675-25 x -1058497-41 x -645425-55 x -481135-205 x -129085-275 x -96227-451 x -58675-1025 x -25817-2255 x -11735-2347 x -11275


How do I find the factor combinations of the number 26,462,425?

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 26,462,425, 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 26,462,425
-1 -26,462,425

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 26,462,425.

Example:
1 x 26,462,425 = 26,462,425
and
-1 x -26,462,425 = 26,462,425
Notice both answers equal 26,462,425

With that explanation out of the way, let's continue. Next, we take the number 26,462,425 and divide it by 2:

26,462,425 ÷ 2 = 13,231,212.5

If the quotient is a whole number, then 2 and 13,231,212.5 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 26,462,425
-1 -26,462,425

Now, we try dividing 26,462,425 by 3:

26,462,425 ÷ 3 = 8,820,808.3333

If the quotient is a whole number, then 3 and 8,820,808.3333 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 26,462,425
-1 -26,462,425

Let's try dividing by 4:

26,462,425 ÷ 4 = 6,615,606.25

If the quotient is a whole number, then 4 and 6,615,606.25 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 26,462,425
-1 26,462,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15112541552052754511,0252,2552,34711,27511,73525,81758,67596,227129,085481,135645,4251,058,4972,405,6755,292,48526,462,425
-1-5-11-25-41-55-205-275-451-1,025-2,255-2,347-11,275-11,735-25,817-58,675-96,227-129,085-481,135-645,425-1,058,497-2,405,675-5,292,485-26,462,425

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