Q: What are the factor combinations of the number 40,820,075?

 A:
Positive:   1 x 408200755 x 816401519 x 214842525 x 163280395 x 429685361 x 113075475 x 859371805 x 226154523 x 9025
Negative: -1 x -40820075-5 x -8164015-19 x -2148425-25 x -1632803-95 x -429685-361 x -113075-475 x -85937-1805 x -22615-4523 x -9025


How do I find the factor combinations of the number 40,820,075?

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 40,820,075, 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 40,820,075
-1 -40,820,075

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 40,820,075.

Example:
1 x 40,820,075 = 40,820,075
and
-1 x -40,820,075 = 40,820,075
Notice both answers equal 40,820,075

With that explanation out of the way, let's continue. Next, we take the number 40,820,075 and divide it by 2:

40,820,075 ÷ 2 = 20,410,037.5

If the quotient is a whole number, then 2 and 20,410,037.5 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 40,820,075
-1 -40,820,075

Now, we try dividing 40,820,075 by 3:

40,820,075 ÷ 3 = 13,606,691.6667

If the quotient is a whole number, then 3 and 13,606,691.6667 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 40,820,075
-1 -40,820,075

Let's try dividing by 4:

40,820,075 ÷ 4 = 10,205,018.75

If the quotient is a whole number, then 4 and 10,205,018.75 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 40,820,075
-1 40,820,075
Keep dividing by the next highest number until you cannot divide anymore.

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

151925953614751,8054,5239,02522,61585,937113,075429,6851,632,8032,148,4258,164,01540,820,075
-1-5-19-25-95-361-475-1,805-4,523-9,025-22,615-85,937-113,075-429,685-1,632,803-2,148,425-8,164,015-40,820,075

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