Q: What are the factor combinations of the number 36,021,923?

 A:
Positive:   1 x 360219237 x 514598973 x 493451157 x 229439449 x 80227511 x 704931099 x 327773143 x 11461
Negative: -1 x -36021923-7 x -5145989-73 x -493451-157 x -229439-449 x -80227-511 x -70493-1099 x -32777-3143 x -11461


How do I find the factor combinations of the number 36,021,923?

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 36,021,923, 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 36,021,923
-1 -36,021,923

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 36,021,923.

Example:
1 x 36,021,923 = 36,021,923
and
-1 x -36,021,923 = 36,021,923
Notice both answers equal 36,021,923

With that explanation out of the way, let's continue. Next, we take the number 36,021,923 and divide it by 2:

36,021,923 ÷ 2 = 18,010,961.5

If the quotient is a whole number, then 2 and 18,010,961.5 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 36,021,923
-1 -36,021,923

Now, we try dividing 36,021,923 by 3:

36,021,923 ÷ 3 = 12,007,307.6667

If the quotient is a whole number, then 3 and 12,007,307.6667 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 36,021,923
-1 -36,021,923

Let's try dividing by 4:

36,021,923 ÷ 4 = 9,005,480.75

If the quotient is a whole number, then 4 and 9,005,480.75 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 36,021,923
-1 36,021,923
Keep dividing by the next highest number until you cannot divide anymore.

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

17731574495111,0993,14311,46132,77770,49380,227229,439493,4515,145,98936,021,923
-1-7-73-157-449-511-1,099-3,143-11,461-32,777-70,493-80,227-229,439-493,451-5,145,989-36,021,923

More Examples

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