Q: What are the factor combinations of the number 43,015,027?

 A:
Positive:   1 x 4301502711 x 391045741 x 1049147127 x 338701451 x 95377751 x 572771397 x 307915207 x 8261
Negative: -1 x -43015027-11 x -3910457-41 x -1049147-127 x -338701-451 x -95377-751 x -57277-1397 x -30791-5207 x -8261


How do I find the factor combinations of the number 43,015,027?

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 43,015,027, 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 43,015,027
-1 -43,015,027

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 43,015,027.

Example:
1 x 43,015,027 = 43,015,027
and
-1 x -43,015,027 = 43,015,027
Notice both answers equal 43,015,027

With that explanation out of the way, let's continue. Next, we take the number 43,015,027 and divide it by 2:

43,015,027 ÷ 2 = 21,507,513.5

If the quotient is a whole number, then 2 and 21,507,513.5 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 43,015,027
-1 -43,015,027

Now, we try dividing 43,015,027 by 3:

43,015,027 ÷ 3 = 14,338,342.3333

If the quotient is a whole number, then 3 and 14,338,342.3333 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 43,015,027
-1 -43,015,027

Let's try dividing by 4:

43,015,027 ÷ 4 = 10,753,756.75

If the quotient is a whole number, then 4 and 10,753,756.75 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 43,015,027
-1 43,015,027
Keep dividing by the next highest number until you cannot divide anymore.

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

111411274517511,3975,2078,26130,79157,27795,377338,7011,049,1473,910,45743,015,027
-1-11-41-127-451-751-1,397-5,207-8,261-30,791-57,277-95,377-338,701-1,049,147-3,910,457-43,015,027

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