Q: What are the factor combinations of the number 46,165,115?

 A:
Positive:   1 x 461651155 x 923302317 x 271559585 x 543119103 x 448205515 x 896411751 x 263655273 x 8755
Negative: -1 x -46165115-5 x -9233023-17 x -2715595-85 x -543119-103 x -448205-515 x -89641-1751 x -26365-5273 x -8755


How do I find the factor combinations of the number 46,165,115?

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 46,165,115, 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 46,165,115
-1 -46,165,115

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 46,165,115.

Example:
1 x 46,165,115 = 46,165,115
and
-1 x -46,165,115 = 46,165,115
Notice both answers equal 46,165,115

With that explanation out of the way, let's continue. Next, we take the number 46,165,115 and divide it by 2:

46,165,115 ÷ 2 = 23,082,557.5

If the quotient is a whole number, then 2 and 23,082,557.5 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 46,165,115
-1 -46,165,115

Now, we try dividing 46,165,115 by 3:

46,165,115 ÷ 3 = 15,388,371.6667

If the quotient is a whole number, then 3 and 15,388,371.6667 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 46,165,115
-1 -46,165,115

Let's try dividing by 4:

46,165,115 ÷ 4 = 11,541,278.75

If the quotient is a whole number, then 4 and 11,541,278.75 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 46,165,115
-1 46,165,115
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851035151,7515,2738,75526,36589,641448,205543,1192,715,5959,233,02346,165,115
-1-5-17-85-103-515-1,751-5,273-8,755-26,365-89,641-448,205-543,119-2,715,595-9,233,023-46,165,115

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