Q: What are the factor combinations of the number 21,033,131?

 A:
Positive:   1 x 210331317 x 300473317 x 123724337 x 568463119 x 176749259 x 81209281 x 74851289 x 72779629 x 334391967 x 106932023 x 103974403 x 4777
Negative: -1 x -21033131-7 x -3004733-17 x -1237243-37 x -568463-119 x -176749-259 x -81209-281 x -74851-289 x -72779-629 x -33439-1967 x -10693-2023 x -10397-4403 x -4777


How do I find the factor combinations of the number 21,033,131?

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 21,033,131, 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 21,033,131
-1 -21,033,131

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 21,033,131.

Example:
1 x 21,033,131 = 21,033,131
and
-1 x -21,033,131 = 21,033,131
Notice both answers equal 21,033,131

With that explanation out of the way, let's continue. Next, we take the number 21,033,131 and divide it by 2:

21,033,131 ÷ 2 = 10,516,565.5

If the quotient is a whole number, then 2 and 10,516,565.5 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 21,033,131
-1 -21,033,131

Now, we try dividing 21,033,131 by 3:

21,033,131 ÷ 3 = 7,011,043.6667

If the quotient is a whole number, then 3 and 7,011,043.6667 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 21,033,131
-1 -21,033,131

Let's try dividing by 4:

21,033,131 ÷ 4 = 5,258,282.75

If the quotient is a whole number, then 4 and 5,258,282.75 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 21,033,131
-1 21,033,131
Keep dividing by the next highest number until you cannot divide anymore.

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

1717371192592812896291,9672,0234,4034,77710,39710,69333,43972,77974,85181,209176,749568,4631,237,2433,004,73321,033,131
-1-7-17-37-119-259-281-289-629-1,967-2,023-4,403-4,777-10,397-10,693-33,439-72,779-74,851-81,209-176,749-568,463-1,237,243-3,004,733-21,033,131

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