Q: What are the factor combinations of the number 40,157,819?

 A:
Positive:   1 x 4015781913 x 308906341 x 97945959 x 680641533 x 75343767 x 523571277 x 314472419 x 16601
Negative: -1 x -40157819-13 x -3089063-41 x -979459-59 x -680641-533 x -75343-767 x -52357-1277 x -31447-2419 x -16601


How do I find the factor combinations of the number 40,157,819?

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 40,157,819, 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 40,157,819
-1 -40,157,819

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 40,157,819.

Example:
1 x 40,157,819 = 40,157,819
and
-1 x -40,157,819 = 40,157,819
Notice both answers equal 40,157,819

With that explanation out of the way, let's continue. Next, we take the number 40,157,819 and divide it by 2:

40,157,819 ÷ 2 = 20,078,909.5

If the quotient is a whole number, then 2 and 20,078,909.5 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 40,157,819
-1 -40,157,819

Now, we try dividing 40,157,819 by 3:

40,157,819 ÷ 3 = 13,385,939.6667

If the quotient is a whole number, then 3 and 13,385,939.6667 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 40,157,819
-1 -40,157,819

Let's try dividing by 4:

40,157,819 ÷ 4 = 10,039,454.75

If the quotient is a whole number, then 4 and 10,039,454.75 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 40,157,819
-1 40,157,819
Keep dividing by the next highest number until you cannot divide anymore.

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

11341595337671,2772,41916,60131,44752,35775,343680,641979,4593,089,06340,157,819
-1-13-41-59-533-767-1,277-2,419-16,601-31,447-52,357-75,343-680,641-979,459-3,089,063-40,157,819

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