Q: What are the factor combinations of the number 40,534,199?

 A:
Positive:   1 x 4053419929 x 139773141 x 98863973 x 555263467 x 867971189 x 340912117 x 191472993 x 13543
Negative: -1 x -40534199-29 x -1397731-41 x -988639-73 x -555263-467 x -86797-1189 x -34091-2117 x -19147-2993 x -13543


How do I find the factor combinations of the number 40,534,199?

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 40,534,199, 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 40,534,199
-1 -40,534,199

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 40,534,199.

Example:
1 x 40,534,199 = 40,534,199
and
-1 x -40,534,199 = 40,534,199
Notice both answers equal 40,534,199

With that explanation out of the way, let's continue. Next, we take the number 40,534,199 and divide it by 2:

40,534,199 ÷ 2 = 20,267,099.5

If the quotient is a whole number, then 2 and 20,267,099.5 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 40,534,199
-1 -40,534,199

Now, we try dividing 40,534,199 by 3:

40,534,199 ÷ 3 = 13,511,399.6667

If the quotient is a whole number, then 3 and 13,511,399.6667 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 40,534,199
-1 -40,534,199

Let's try dividing by 4:

40,534,199 ÷ 4 = 10,133,549.75

If the quotient is a whole number, then 4 and 10,133,549.75 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 40,534,199
-1 40,534,199
Keep dividing by the next highest number until you cannot divide anymore.

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

12941734671,1892,1172,99313,54319,14734,09186,797555,263988,6391,397,73140,534,199
-1-29-41-73-467-1,189-2,117-2,993-13,543-19,147-34,091-86,797-555,263-988,639-1,397,731-40,534,199

More Examples

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