Q: What are the factor combinations of the number 40,035,775?

 A:
Positive:   1 x 400357755 x 800715513 x 307967525 x 160143147 x 85182565 x 615935235 x 170365325 x 123187611 x 655251175 x 340732621 x 152753055 x 13105
Negative: -1 x -40035775-5 x -8007155-13 x -3079675-25 x -1601431-47 x -851825-65 x -615935-235 x -170365-325 x -123187-611 x -65525-1175 x -34073-2621 x -15275-3055 x -13105


How do I find the factor combinations of the number 40,035,775?

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 40,035,775, 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 40,035,775
-1 -40,035,775

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 40,035,775.

Example:
1 x 40,035,775 = 40,035,775
and
-1 x -40,035,775 = 40,035,775
Notice both answers equal 40,035,775

With that explanation out of the way, let's continue. Next, we take the number 40,035,775 and divide it by 2:

40,035,775 ÷ 2 = 20,017,887.5

If the quotient is a whole number, then 2 and 20,017,887.5 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 40,035,775
-1 -40,035,775

Now, we try dividing 40,035,775 by 3:

40,035,775 ÷ 3 = 13,345,258.3333

If the quotient is a whole number, then 3 and 13,345,258.3333 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 40,035,775
-1 -40,035,775

Let's try dividing by 4:

40,035,775 ÷ 4 = 10,008,943.75

If the quotient is a whole number, then 4 and 10,008,943.75 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 40,035,775
-1 40,035,775
Keep dividing by the next highest number until you cannot divide anymore.

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

15132547652353256111,1752,6213,05513,10515,27534,07365,525123,187170,365615,935851,8251,601,4313,079,6758,007,15540,035,775
-1-5-13-25-47-65-235-325-611-1,175-2,621-3,055-13,105-15,275-34,073-65,525-123,187-170,365-615,935-851,825-1,601,431-3,079,675-8,007,155-40,035,775

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