Q: What are the factor combinations of the number 40,024,255?

 A:
Positive:   1 x 400242555 x 800485123 x 174018531 x 1291105103 x 388585109 x 367195115 x 348037155 x 258221515 x 77717545 x 73439713 x 561352369 x 168952507 x 159653193 x 125353379 x 118453565 x 11227
Negative: -1 x -40024255-5 x -8004851-23 x -1740185-31 x -1291105-103 x -388585-109 x -367195-115 x -348037-155 x -258221-515 x -77717-545 x -73439-713 x -56135-2369 x -16895-2507 x -15965-3193 x -12535-3379 x -11845-3565 x -11227


How do I find the factor combinations of the number 40,024,255?

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 40,024,255, 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 40,024,255
-1 -40,024,255

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 40,024,255.

Example:
1 x 40,024,255 = 40,024,255
and
-1 x -40,024,255 = 40,024,255
Notice both answers equal 40,024,255

With that explanation out of the way, let's continue. Next, we take the number 40,024,255 and divide it by 2:

40,024,255 ÷ 2 = 20,012,127.5

If the quotient is a whole number, then 2 and 20,012,127.5 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 40,024,255
-1 -40,024,255

Now, we try dividing 40,024,255 by 3:

40,024,255 ÷ 3 = 13,341,418.3333

If the quotient is a whole number, then 3 and 13,341,418.3333 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 40,024,255
-1 -40,024,255

Let's try dividing by 4:

40,024,255 ÷ 4 = 10,006,063.75

If the quotient is a whole number, then 4 and 10,006,063.75 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 40,024,255
-1 40,024,255
Keep dividing by the next highest number until you cannot divide anymore.

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

1523311031091151555155457132,3692,5073,1933,3793,56511,22711,84512,53515,96516,89556,13573,43977,717258,221348,037367,195388,5851,291,1051,740,1858,004,85140,024,255
-1-5-23-31-103-109-115-155-515-545-713-2,369-2,507-3,193-3,379-3,565-11,227-11,845-12,535-15,965-16,895-56,135-73,439-77,717-258,221-348,037-367,195-388,585-1,291,105-1,740,185-8,004,851-40,024,255

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