Q: What are the factor combinations of the number 80,846,029?

 A:
Positive:   1 x 8084602911 x 7349639121 x 668149137 x 5901171507 x 536474877 x 16577
Negative: -1 x -80846029-11 x -7349639-121 x -668149-137 x -590117-1507 x -53647-4877 x -16577


How do I find the factor combinations of the number 80,846,029?

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 80,846,029, 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 80,846,029
-1 -80,846,029

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 80,846,029.

Example:
1 x 80,846,029 = 80,846,029
and
-1 x -80,846,029 = 80,846,029
Notice both answers equal 80,846,029

With that explanation out of the way, let's continue. Next, we take the number 80,846,029 and divide it by 2:

80,846,029 ÷ 2 = 40,423,014.5

If the quotient is a whole number, then 2 and 40,423,014.5 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 80,846,029
-1 -80,846,029

Now, we try dividing 80,846,029 by 3:

80,846,029 ÷ 3 = 26,948,676.3333

If the quotient is a whole number, then 3 and 26,948,676.3333 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 80,846,029
-1 -80,846,029

Let's try dividing by 4:

80,846,029 ÷ 4 = 20,211,507.25

If the quotient is a whole number, then 4 and 20,211,507.25 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 80,846,029
-1 80,846,029
Keep dividing by the next highest number until you cannot divide anymore.

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

1111211371,5074,87716,57753,647590,117668,1497,349,63980,846,029
-1-11-121-137-1,507-4,877-16,577-53,647-590,117-668,149-7,349,639-80,846,029

More Examples

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