Q: What are the factor combinations of the number 23,567,525?

 A:
Positive:   1 x 235675255 x 471350517 x 138632523 x 102467525 x 94270185 x 277265115 x 204935391 x 60275425 x 55453575 x 409871955 x 120552411 x 9775
Negative: -1 x -23567525-5 x -4713505-17 x -1386325-23 x -1024675-25 x -942701-85 x -277265-115 x -204935-391 x -60275-425 x -55453-575 x -40987-1955 x -12055-2411 x -9775


How do I find the factor combinations of the number 23,567,525?

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 23,567,525, 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 23,567,525
-1 -23,567,525

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 23,567,525.

Example:
1 x 23,567,525 = 23,567,525
and
-1 x -23,567,525 = 23,567,525
Notice both answers equal 23,567,525

With that explanation out of the way, let's continue. Next, we take the number 23,567,525 and divide it by 2:

23,567,525 ÷ 2 = 11,783,762.5

If the quotient is a whole number, then 2 and 11,783,762.5 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 23,567,525
-1 -23,567,525

Now, we try dividing 23,567,525 by 3:

23,567,525 ÷ 3 = 7,855,841.6667

If the quotient is a whole number, then 3 and 7,855,841.6667 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 23,567,525
-1 -23,567,525

Let's try dividing by 4:

23,567,525 ÷ 4 = 5,891,881.25

If the quotient is a whole number, then 4 and 5,891,881.25 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 23,567,525
-1 23,567,525
Keep dividing by the next highest number until you cannot divide anymore.

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

15172325851153914255751,9552,4119,77512,05540,98755,45360,275204,935277,265942,7011,024,6751,386,3254,713,50523,567,525
-1-5-17-23-25-85-115-391-425-575-1,955-2,411-9,775-12,055-40,987-55,453-60,275-204,935-277,265-942,701-1,024,675-1,386,325-4,713,505-23,567,525

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