Q: What are the factor combinations of the number 23,143,015?

 A:
Positive:   1 x 231430155 x 46286037 x 330614529 x 79803535 x 661229145 x 159607151 x 153265203 x 114005755 x 306531015 x 228011057 x 218954379 x 5285
Negative: -1 x -23143015-5 x -4628603-7 x -3306145-29 x -798035-35 x -661229-145 x -159607-151 x -153265-203 x -114005-755 x -30653-1015 x -22801-1057 x -21895-4379 x -5285


How do I find the factor combinations of the number 23,143,015?

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 23,143,015, 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 23,143,015
-1 -23,143,015

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 23,143,015.

Example:
1 x 23,143,015 = 23,143,015
and
-1 x -23,143,015 = 23,143,015
Notice both answers equal 23,143,015

With that explanation out of the way, let's continue. Next, we take the number 23,143,015 and divide it by 2:

23,143,015 ÷ 2 = 11,571,507.5

If the quotient is a whole number, then 2 and 11,571,507.5 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 23,143,015
-1 -23,143,015

Now, we try dividing 23,143,015 by 3:

23,143,015 ÷ 3 = 7,714,338.3333

If the quotient is a whole number, then 3 and 7,714,338.3333 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 23,143,015
-1 -23,143,015

Let's try dividing by 4:

23,143,015 ÷ 4 = 5,785,753.75

If the quotient is a whole number, then 4 and 5,785,753.75 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 23,143,015
-1 23,143,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15729351451512037551,0151,0574,3795,28521,89522,80130,653114,005153,265159,607661,229798,0353,306,1454,628,60323,143,015
-1-5-7-29-35-145-151-203-755-1,015-1,057-4,379-5,285-21,895-22,801-30,653-114,005-153,265-159,607-661,229-798,035-3,306,145-4,628,603-23,143,015

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