Q: What are the factor combinations of the number 43,840,807?

 A:
Positive:   1 x 4384080717 x 257887173 x 6005591241 x 35327
Negative: -1 x -43840807-17 x -2578871-73 x -600559-1241 x -35327


How do I find the factor combinations of the number 43,840,807?

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 43,840,807, 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 43,840,807
-1 -43,840,807

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 43,840,807.

Example:
1 x 43,840,807 = 43,840,807
and
-1 x -43,840,807 = 43,840,807
Notice both answers equal 43,840,807

With that explanation out of the way, let's continue. Next, we take the number 43,840,807 and divide it by 2:

43,840,807 ÷ 2 = 21,920,403.5

If the quotient is a whole number, then 2 and 21,920,403.5 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 43,840,807
-1 -43,840,807

Now, we try dividing 43,840,807 by 3:

43,840,807 ÷ 3 = 14,613,602.3333

If the quotient is a whole number, then 3 and 14,613,602.3333 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 43,840,807
-1 -43,840,807

Let's try dividing by 4:

43,840,807 ÷ 4 = 10,960,201.75

If the quotient is a whole number, then 4 and 10,960,201.75 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 43,840,807
-1 43,840,807
Keep dividing by the next highest number until you cannot divide anymore.

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

117731,24135,327600,5592,578,87143,840,807
-1-17-73-1,241-35,327-600,559-2,578,871-43,840,807

More Examples

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