Q: What are the factor combinations of the number 40,515,667?

 A:
Positive:   1 x 4051566731 x 130695741 x 988187127 x 319021251 x 1614171271 x 318773937 x 102915207 x 7781
Negative: -1 x -40515667-31 x -1306957-41 x -988187-127 x -319021-251 x -161417-1271 x -31877-3937 x -10291-5207 x -7781


How do I find the factor combinations of the number 40,515,667?

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 40,515,667, 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 40,515,667
-1 -40,515,667

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 40,515,667.

Example:
1 x 40,515,667 = 40,515,667
and
-1 x -40,515,667 = 40,515,667
Notice both answers equal 40,515,667

With that explanation out of the way, let's continue. Next, we take the number 40,515,667 and divide it by 2:

40,515,667 ÷ 2 = 20,257,833.5

If the quotient is a whole number, then 2 and 20,257,833.5 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 40,515,667
-1 -40,515,667

Now, we try dividing 40,515,667 by 3:

40,515,667 ÷ 3 = 13,505,222.3333

If the quotient is a whole number, then 3 and 13,505,222.3333 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 40,515,667
-1 -40,515,667

Let's try dividing by 4:

40,515,667 ÷ 4 = 10,128,916.75

If the quotient is a whole number, then 4 and 10,128,916.75 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 40,515,667
-1 40,515,667
Keep dividing by the next highest number until you cannot divide anymore.

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

131411272511,2713,9375,2077,78110,29131,877161,417319,021988,1871,306,95740,515,667
-1-31-41-127-251-1,271-3,937-5,207-7,781-10,291-31,877-161,417-319,021-988,187-1,306,957-40,515,667

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