Q: What are the factor combinations of the number 32,021,885?

 A:
Positive:   1 x 320218855 x 64043777 x 457455535 x 91491143 x 744695215 x 148939301 x 1063851505 x 21277
Negative: -1 x -32021885-5 x -6404377-7 x -4574555-35 x -914911-43 x -744695-215 x -148939-301 x -106385-1505 x -21277


How do I find the factor combinations of the number 32,021,885?

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 32,021,885, 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 32,021,885
-1 -32,021,885

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 32,021,885.

Example:
1 x 32,021,885 = 32,021,885
and
-1 x -32,021,885 = 32,021,885
Notice both answers equal 32,021,885

With that explanation out of the way, let's continue. Next, we take the number 32,021,885 and divide it by 2:

32,021,885 ÷ 2 = 16,010,942.5

If the quotient is a whole number, then 2 and 16,010,942.5 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 32,021,885
-1 -32,021,885

Now, we try dividing 32,021,885 by 3:

32,021,885 ÷ 3 = 10,673,961.6667

If the quotient is a whole number, then 3 and 10,673,961.6667 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 32,021,885
-1 -32,021,885

Let's try dividing by 4:

32,021,885 ÷ 4 = 8,005,471.25

If the quotient is a whole number, then 4 and 8,005,471.25 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 32,021,885
-1 32,021,885
Keep dividing by the next highest number until you cannot divide anymore.

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

15735432153011,50521,277106,385148,939744,695914,9114,574,5556,404,37732,021,885
-1-5-7-35-43-215-301-1,505-21,277-106,385-148,939-744,695-914,911-4,574,555-6,404,377-32,021,885

More Examples

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