Q: What are the factor combinations of the number 40,374,061?

 A:
Positive:   1 x 403740617 x 576772313 x 310569729 x 139220991 x 443671203 x 198887377 x 1070932639 x 15299
Negative: -1 x -40374061-7 x -5767723-13 x -3105697-29 x -1392209-91 x -443671-203 x -198887-377 x -107093-2639 x -15299


How do I find the factor combinations of the number 40,374,061?

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 40,374,061, 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 40,374,061
-1 -40,374,061

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 40,374,061.

Example:
1 x 40,374,061 = 40,374,061
and
-1 x -40,374,061 = 40,374,061
Notice both answers equal 40,374,061

With that explanation out of the way, let's continue. Next, we take the number 40,374,061 and divide it by 2:

40,374,061 ÷ 2 = 20,187,030.5

If the quotient is a whole number, then 2 and 20,187,030.5 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 40,374,061
-1 -40,374,061

Now, we try dividing 40,374,061 by 3:

40,374,061 ÷ 3 = 13,458,020.3333

If the quotient is a whole number, then 3 and 13,458,020.3333 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 40,374,061
-1 -40,374,061

Let's try dividing by 4:

40,374,061 ÷ 4 = 10,093,515.25

If the quotient is a whole number, then 4 and 10,093,515.25 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 40,374,061
-1 40,374,061
Keep dividing by the next highest number until you cannot divide anymore.

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

171329912033772,63915,299107,093198,887443,6711,392,2093,105,6975,767,72340,374,061
-1-7-13-29-91-203-377-2,639-15,299-107,093-198,887-443,671-1,392,209-3,105,697-5,767,723-40,374,061

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