Q: What are the factor combinations of the number 46,000,843?

 A:
Positive:   1 x 460008437 x 657154919 x 2421097133 x 345871157 x 2929991099 x 418572203 x 208812983 x 15421
Negative: -1 x -46000843-7 x -6571549-19 x -2421097-133 x -345871-157 x -292999-1099 x -41857-2203 x -20881-2983 x -15421


How do I find the factor combinations of the number 46,000,843?

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 46,000,843, 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 46,000,843
-1 -46,000,843

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 46,000,843.

Example:
1 x 46,000,843 = 46,000,843
and
-1 x -46,000,843 = 46,000,843
Notice both answers equal 46,000,843

With that explanation out of the way, let's continue. Next, we take the number 46,000,843 and divide it by 2:

46,000,843 ÷ 2 = 23,000,421.5

If the quotient is a whole number, then 2 and 23,000,421.5 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 46,000,843
-1 -46,000,843

Now, we try dividing 46,000,843 by 3:

46,000,843 ÷ 3 = 15,333,614.3333

If the quotient is a whole number, then 3 and 15,333,614.3333 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 46,000,843
-1 -46,000,843

Let's try dividing by 4:

46,000,843 ÷ 4 = 11,500,210.75

If the quotient is a whole number, then 4 and 11,500,210.75 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 46,000,843
-1 46,000,843
Keep dividing by the next highest number until you cannot divide anymore.

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

17191331571,0992,2032,98315,42120,88141,857292,999345,8712,421,0976,571,54946,000,843
-1-7-19-133-157-1,099-2,203-2,983-15,421-20,881-41,857-292,999-345,871-2,421,097-6,571,549-46,000,843

More Examples

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