Q: What are the factor combinations of the number 46,514,897?

 A:
Positive:   1 x 4651489711 x 422862713 x 3578069143 x 325279239 x 1946231361 x 341772629 x 176933107 x 14971
Negative: -1 x -46514897-11 x -4228627-13 x -3578069-143 x -325279-239 x -194623-1361 x -34177-2629 x -17693-3107 x -14971


How do I find the factor combinations of the number 46,514,897?

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 46,514,897, 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 46,514,897
-1 -46,514,897

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 46,514,897.

Example:
1 x 46,514,897 = 46,514,897
and
-1 x -46,514,897 = 46,514,897
Notice both answers equal 46,514,897

With that explanation out of the way, let's continue. Next, we take the number 46,514,897 and divide it by 2:

46,514,897 ÷ 2 = 23,257,448.5

If the quotient is a whole number, then 2 and 23,257,448.5 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 46,514,897
-1 -46,514,897

Now, we try dividing 46,514,897 by 3:

46,514,897 ÷ 3 = 15,504,965.6667

If the quotient is a whole number, then 3 and 15,504,965.6667 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 46,514,897
-1 -46,514,897

Let's try dividing by 4:

46,514,897 ÷ 4 = 11,628,724.25

If the quotient is a whole number, then 4 and 11,628,724.25 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 46,514,897
-1 46,514,897
Keep dividing by the next highest number until you cannot divide anymore.

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

111131432391,3612,6293,10714,97117,69334,177194,623325,2793,578,0694,228,62746,514,897
-1-11-13-143-239-1,361-2,629-3,107-14,971-17,693-34,177-194,623-325,279-3,578,069-4,228,627-46,514,897

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