Q: What are the factor combinations of the number 40,679,555?

 A:
Positive:   1 x 406795555 x 81359117 x 581136517 x 239291535 x 116227349 x 83019585 x 478583119 x 341845245 x 166039595 x 68369833 x 488354165 x 9767
Negative: -1 x -40679555-5 x -8135911-7 x -5811365-17 x -2392915-35 x -1162273-49 x -830195-85 x -478583-119 x -341845-245 x -166039-595 x -68369-833 x -48835-4165 x -9767


How do I find the factor combinations of the number 40,679,555?

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 40,679,555, 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 40,679,555
-1 -40,679,555

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 40,679,555.

Example:
1 x 40,679,555 = 40,679,555
and
-1 x -40,679,555 = 40,679,555
Notice both answers equal 40,679,555

With that explanation out of the way, let's continue. Next, we take the number 40,679,555 and divide it by 2:

40,679,555 ÷ 2 = 20,339,777.5

If the quotient is a whole number, then 2 and 20,339,777.5 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 40,679,555
-1 -40,679,555

Now, we try dividing 40,679,555 by 3:

40,679,555 ÷ 3 = 13,559,851.6667

If the quotient is a whole number, then 3 and 13,559,851.6667 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 40,679,555
-1 -40,679,555

Let's try dividing by 4:

40,679,555 ÷ 4 = 10,169,888.75

If the quotient is a whole number, then 4 and 10,169,888.75 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 40,679,555
-1 40,679,555
Keep dividing by the next highest number until you cannot divide anymore.

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

157173549851192455958334,1659,76748,83568,369166,039341,845478,583830,1951,162,2732,392,9155,811,3658,135,91140,679,555
-1-5-7-17-35-49-85-119-245-595-833-4,165-9,767-48,835-68,369-166,039-341,845-478,583-830,195-1,162,273-2,392,915-5,811,365-8,135,911-40,679,555

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