Q: What are the factor combinations of the number 8,023,235?

 A:
Positive:   1 x 80232355 x 160464711 x 72938517 x 47195555 x 14587785 x 94391187 x 42905935 x 8581
Negative: -1 x -8023235-5 x -1604647-11 x -729385-17 x -471955-55 x -145877-85 x -94391-187 x -42905-935 x -8581


How do I find the factor combinations of the number 8,023,235?

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 8,023,235, 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 8,023,235
-1 -8,023,235

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 8,023,235.

Example:
1 x 8,023,235 = 8,023,235
and
-1 x -8,023,235 = 8,023,235
Notice both answers equal 8,023,235

With that explanation out of the way, let's continue. Next, we take the number 8,023,235 and divide it by 2:

8,023,235 ÷ 2 = 4,011,617.5

If the quotient is a whole number, then 2 and 4,011,617.5 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 8,023,235
-1 -8,023,235

Now, we try dividing 8,023,235 by 3:

8,023,235 ÷ 3 = 2,674,411.6667

If the quotient is a whole number, then 3 and 2,674,411.6667 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 8,023,235
-1 -8,023,235

Let's try dividing by 4:

8,023,235 ÷ 4 = 2,005,808.75

If the quotient is a whole number, then 4 and 2,005,808.75 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 8,023,235
-1 8,023,235
Keep dividing by the next highest number until you cannot divide anymore.

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

15111755851879358,58142,90594,391145,877471,955729,3851,604,6478,023,235
-1-5-11-17-55-85-187-935-8,581-42,905-94,391-145,877-471,955-729,385-1,604,647-8,023,235

More Examples

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