Q: What are the factor combinations of the number 46,736,365?

 A:
Positive:   1 x 467363655 x 934727313 x 359510537 x 126314565 x 719021185 x 252629481 x 971652405 x 19433
Negative: -1 x -46736365-5 x -9347273-13 x -3595105-37 x -1263145-65 x -719021-185 x -252629-481 x -97165-2405 x -19433


How do I find the factor combinations of the number 46,736,365?

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 46,736,365, 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 46,736,365
-1 -46,736,365

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 46,736,365.

Example:
1 x 46,736,365 = 46,736,365
and
-1 x -46,736,365 = 46,736,365
Notice both answers equal 46,736,365

With that explanation out of the way, let's continue. Next, we take the number 46,736,365 and divide it by 2:

46,736,365 ÷ 2 = 23,368,182.5

If the quotient is a whole number, then 2 and 23,368,182.5 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 46,736,365
-1 -46,736,365

Now, we try dividing 46,736,365 by 3:

46,736,365 ÷ 3 = 15,578,788.3333

If the quotient is a whole number, then 3 and 15,578,788.3333 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 46,736,365
-1 -46,736,365

Let's try dividing by 4:

46,736,365 ÷ 4 = 11,684,091.25

If the quotient is a whole number, then 4 and 11,684,091.25 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 46,736,365
-1 46,736,365
Keep dividing by the next highest number until you cannot divide anymore.

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

151337651854812,40519,43397,165252,629719,0211,263,1453,595,1059,347,27346,736,365
-1-5-13-37-65-185-481-2,405-19,433-97,165-252,629-719,021-1,263,145-3,595,105-9,347,273-46,736,365

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