Q: What are the factor combinations of the number 46,510,835?

 A:
Positive:   1 x 465108355 x 93021677 x 664440535 x 13288811039 x 447651279 x 363655195 x 89536395 x 7273
Negative: -1 x -46510835-5 x -9302167-7 x -6644405-35 x -1328881-1039 x -44765-1279 x -36365-5195 x -8953-6395 x -7273


How do I find the factor combinations of the number 46,510,835?

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 46,510,835, 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 46,510,835
-1 -46,510,835

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 46,510,835.

Example:
1 x 46,510,835 = 46,510,835
and
-1 x -46,510,835 = 46,510,835
Notice both answers equal 46,510,835

With that explanation out of the way, let's continue. Next, we take the number 46,510,835 and divide it by 2:

46,510,835 ÷ 2 = 23,255,417.5

If the quotient is a whole number, then 2 and 23,255,417.5 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 46,510,835
-1 -46,510,835

Now, we try dividing 46,510,835 by 3:

46,510,835 ÷ 3 = 15,503,611.6667

If the quotient is a whole number, then 3 and 15,503,611.6667 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 46,510,835
-1 -46,510,835

Let's try dividing by 4:

46,510,835 ÷ 4 = 11,627,708.75

If the quotient is a whole number, then 4 and 11,627,708.75 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 46,510,835
-1 46,510,835
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,0391,2795,1956,3957,2738,95336,36544,7651,328,8816,644,4059,302,16746,510,835
-1-5-7-35-1,039-1,279-5,195-6,395-7,273-8,953-36,365-44,765-1,328,881-6,644,405-9,302,167-46,510,835

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