Q: What are the factor combinations of the number 40,155,805?

 A:
Positive:   1 x 401558055 x 80311611259 x 318956295 x 6379
Negative: -1 x -40155805-5 x -8031161-1259 x -31895-6295 x -6379


How do I find the factor combinations of the number 40,155,805?

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 40,155,805, 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 40,155,805
-1 -40,155,805

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 40,155,805.

Example:
1 x 40,155,805 = 40,155,805
and
-1 x -40,155,805 = 40,155,805
Notice both answers equal 40,155,805

With that explanation out of the way, let's continue. Next, we take the number 40,155,805 and divide it by 2:

40,155,805 ÷ 2 = 20,077,902.5

If the quotient is a whole number, then 2 and 20,077,902.5 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 40,155,805
-1 -40,155,805

Now, we try dividing 40,155,805 by 3:

40,155,805 ÷ 3 = 13,385,268.3333

If the quotient is a whole number, then 3 and 13,385,268.3333 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 40,155,805
-1 -40,155,805

Let's try dividing by 4:

40,155,805 ÷ 4 = 10,038,951.25

If the quotient is a whole number, then 4 and 10,038,951.25 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 40,155,805
-1 40,155,805
Keep dividing by the next highest number until you cannot divide anymore.

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

151,2596,2956,37931,8958,031,16140,155,805
-1-5-1,259-6,295-6,379-31,895-8,031,161-40,155,805

More Examples

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