Q: What are the factor combinations of the number 43,040,015?

 A:
Positive:   1 x 430400155 x 860800323 x 187130547 x 915745115 x 374261235 x 1831491081 x 398155405 x 7963
Negative: -1 x -43040015-5 x -8608003-23 x -1871305-47 x -915745-115 x -374261-235 x -183149-1081 x -39815-5405 x -7963


How do I find the factor combinations of the number 43,040,015?

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 43,040,015, 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 43,040,015
-1 -43,040,015

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 43,040,015.

Example:
1 x 43,040,015 = 43,040,015
and
-1 x -43,040,015 = 43,040,015
Notice both answers equal 43,040,015

With that explanation out of the way, let's continue. Next, we take the number 43,040,015 and divide it by 2:

43,040,015 ÷ 2 = 21,520,007.5

If the quotient is a whole number, then 2 and 21,520,007.5 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 43,040,015
-1 -43,040,015

Now, we try dividing 43,040,015 by 3:

43,040,015 ÷ 3 = 14,346,671.6667

If the quotient is a whole number, then 3 and 14,346,671.6667 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 43,040,015
-1 -43,040,015

Let's try dividing by 4:

43,040,015 ÷ 4 = 10,760,003.75

If the quotient is a whole number, then 4 and 10,760,003.75 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 43,040,015
-1 43,040,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1523471152351,0815,4057,96339,815183,149374,261915,7451,871,3058,608,00343,040,015
-1-5-23-47-115-235-1,081-5,405-7,963-39,815-183,149-374,261-915,745-1,871,305-8,608,003-43,040,015

More Examples

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