Q: What are the factor combinations of the number 40,374,065?

 A:
Positive:   1 x 403740655 x 807481317 x 237494585 x 474989349 x 1156851361 x 296651745 x 231375933 x 6805
Negative: -1 x -40374065-5 x -8074813-17 x -2374945-85 x -474989-349 x -115685-1361 x -29665-1745 x -23137-5933 x -6805


How do I find the factor combinations of the number 40,374,065?

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 40,374,065, 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 40,374,065
-1 -40,374,065

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 40,374,065.

Example:
1 x 40,374,065 = 40,374,065
and
-1 x -40,374,065 = 40,374,065
Notice both answers equal 40,374,065

With that explanation out of the way, let's continue. Next, we take the number 40,374,065 and divide it by 2:

40,374,065 ÷ 2 = 20,187,032.5

If the quotient is a whole number, then 2 and 20,187,032.5 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 40,374,065
-1 -40,374,065

Now, we try dividing 40,374,065 by 3:

40,374,065 ÷ 3 = 13,458,021.6667

If the quotient is a whole number, then 3 and 13,458,021.6667 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 40,374,065
-1 -40,374,065

Let's try dividing by 4:

40,374,065 ÷ 4 = 10,093,516.25

If the quotient is a whole number, then 4 and 10,093,516.25 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 40,374,065
-1 40,374,065
Keep dividing by the next highest number until you cannot divide anymore.

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

1517853491,3611,7455,9336,80523,13729,665115,685474,9892,374,9458,074,81340,374,065
-1-5-17-85-349-1,361-1,745-5,933-6,805-23,137-29,665-115,685-474,989-2,374,945-8,074,813-40,374,065

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