Q: What are the factor combinations of the number 47,606,845?

 A:
Positive:   1 x 476068455 x 952136911 x 432789513 x 366206555 x 86557965 x 732413121 x 393445143 x 332915605 x 78689715 x 665831573 x 302656053 x 7865
Negative: -1 x -47606845-5 x -9521369-11 x -4327895-13 x -3662065-55 x -865579-65 x -732413-121 x -393445-143 x -332915-605 x -78689-715 x -66583-1573 x -30265-6053 x -7865


How do I find the factor combinations of the number 47,606,845?

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 47,606,845, 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 47,606,845
-1 -47,606,845

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 47,606,845.

Example:
1 x 47,606,845 = 47,606,845
and
-1 x -47,606,845 = 47,606,845
Notice both answers equal 47,606,845

With that explanation out of the way, let's continue. Next, we take the number 47,606,845 and divide it by 2:

47,606,845 ÷ 2 = 23,803,422.5

If the quotient is a whole number, then 2 and 23,803,422.5 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 47,606,845
-1 -47,606,845

Now, we try dividing 47,606,845 by 3:

47,606,845 ÷ 3 = 15,868,948.3333

If the quotient is a whole number, then 3 and 15,868,948.3333 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 47,606,845
-1 -47,606,845

Let's try dividing by 4:

47,606,845 ÷ 4 = 11,901,711.25

If the quotient is a whole number, then 4 and 11,901,711.25 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 47,606,845
-1 47,606,845
Keep dividing by the next highest number until you cannot divide anymore.

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

15111355651211436057151,5736,0537,86530,26566,58378,689332,915393,445732,413865,5793,662,0654,327,8959,521,36947,606,845
-1-5-11-13-55-65-121-143-605-715-1,573-6,053-7,865-30,265-66,583-78,689-332,915-393,445-732,413-865,579-3,662,065-4,327,895-9,521,369-47,606,845

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