Q: What are the factor combinations of the number 23,450,525?

 A:
Positive:   1 x 234505255 x 46901057 x 335007525 x 93802135 x 670015103 x 227675175 x 134003515 x 45535721 x 325251301 x 180252575 x 91073605 x 6505
Negative: -1 x -23450525-5 x -4690105-7 x -3350075-25 x -938021-35 x -670015-103 x -227675-175 x -134003-515 x -45535-721 x -32525-1301 x -18025-2575 x -9107-3605 x -6505


How do I find the factor combinations of the number 23,450,525?

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 23,450,525, 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 23,450,525
-1 -23,450,525

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 23,450,525.

Example:
1 x 23,450,525 = 23,450,525
and
-1 x -23,450,525 = 23,450,525
Notice both answers equal 23,450,525

With that explanation out of the way, let's continue. Next, we take the number 23,450,525 and divide it by 2:

23,450,525 ÷ 2 = 11,725,262.5

If the quotient is a whole number, then 2 and 11,725,262.5 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 23,450,525
-1 -23,450,525

Now, we try dividing 23,450,525 by 3:

23,450,525 ÷ 3 = 7,816,841.6667

If the quotient is a whole number, then 3 and 7,816,841.6667 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 23,450,525
-1 -23,450,525

Let's try dividing by 4:

23,450,525 ÷ 4 = 5,862,631.25

If the quotient is a whole number, then 4 and 5,862,631.25 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 23,450,525
-1 23,450,525
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351031755157211,3012,5753,6056,5059,10718,02532,52545,535134,003227,675670,015938,0213,350,0754,690,10523,450,525
-1-5-7-25-35-103-175-515-721-1,301-2,575-3,605-6,505-9,107-18,025-32,525-45,535-134,003-227,675-670,015-938,021-3,350,075-4,690,105-23,450,525

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