Q: What are the factor combinations of the number 46,504,661?

 A:
Positive:   1 x 465046617 x 664352329 x 1603609107 x 434623203 x 229087749 x 620892141 x 217213103 x 14987
Negative: -1 x -46504661-7 x -6643523-29 x -1603609-107 x -434623-203 x -229087-749 x -62089-2141 x -21721-3103 x -14987


How do I find the factor combinations of the number 46,504,661?

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 46,504,661, 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 46,504,661
-1 -46,504,661

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 46,504,661.

Example:
1 x 46,504,661 = 46,504,661
and
-1 x -46,504,661 = 46,504,661
Notice both answers equal 46,504,661

With that explanation out of the way, let's continue. Next, we take the number 46,504,661 and divide it by 2:

46,504,661 ÷ 2 = 23,252,330.5

If the quotient is a whole number, then 2 and 23,252,330.5 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 46,504,661
-1 -46,504,661

Now, we try dividing 46,504,661 by 3:

46,504,661 ÷ 3 = 15,501,553.6667

If the quotient is a whole number, then 3 and 15,501,553.6667 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 46,504,661
-1 -46,504,661

Let's try dividing by 4:

46,504,661 ÷ 4 = 11,626,165.25

If the quotient is a whole number, then 4 and 11,626,165.25 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 46,504,661
-1 46,504,661
Keep dividing by the next highest number until you cannot divide anymore.

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

17291072037492,1413,10314,98721,72162,089229,087434,6231,603,6096,643,52346,504,661
-1-7-29-107-203-749-2,141-3,103-14,987-21,721-62,089-229,087-434,623-1,603,609-6,643,523-46,504,661

More Examples

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