Q: What are the factor combinations of the number 46,815,199?

 A:
Positive:   1 x 4681519971 x 659369773 x 60563853 x 54883
Negative: -1 x -46815199-71 x -659369-773 x -60563-853 x -54883


How do I find the factor combinations of the number 46,815,199?

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 46,815,199, 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 46,815,199
-1 -46,815,199

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 46,815,199.

Example:
1 x 46,815,199 = 46,815,199
and
-1 x -46,815,199 = 46,815,199
Notice both answers equal 46,815,199

With that explanation out of the way, let's continue. Next, we take the number 46,815,199 and divide it by 2:

46,815,199 ÷ 2 = 23,407,599.5

If the quotient is a whole number, then 2 and 23,407,599.5 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 46,815,199
-1 -46,815,199

Now, we try dividing 46,815,199 by 3:

46,815,199 ÷ 3 = 15,605,066.3333

If the quotient is a whole number, then 3 and 15,605,066.3333 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 46,815,199
-1 -46,815,199

Let's try dividing by 4:

46,815,199 ÷ 4 = 11,703,799.75

If the quotient is a whole number, then 4 and 11,703,799.75 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 46,815,199
-1 46,815,199
Keep dividing by the next highest number until you cannot divide anymore.

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

17177385354,88360,563659,36946,815,199
-1-71-773-853-54,883-60,563-659,369-46,815,199

More Examples

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