Q: What are the factor combinations of the number 47,351,185?

 A:
Positive:   1 x 473511855 x 94702377 x 676445535 x 1352891613 x 772452207 x 214553065 x 154494291 x 11035
Negative: -1 x -47351185-5 x -9470237-7 x -6764455-35 x -1352891-613 x -77245-2207 x -21455-3065 x -15449-4291 x -11035


How do I find the factor combinations of the number 47,351,185?

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 47,351,185, 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 47,351,185
-1 -47,351,185

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 47,351,185.

Example:
1 x 47,351,185 = 47,351,185
and
-1 x -47,351,185 = 47,351,185
Notice both answers equal 47,351,185

With that explanation out of the way, let's continue. Next, we take the number 47,351,185 and divide it by 2:

47,351,185 ÷ 2 = 23,675,592.5

If the quotient is a whole number, then 2 and 23,675,592.5 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 47,351,185
-1 -47,351,185

Now, we try dividing 47,351,185 by 3:

47,351,185 ÷ 3 = 15,783,728.3333

If the quotient is a whole number, then 3 and 15,783,728.3333 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 47,351,185
-1 -47,351,185

Let's try dividing by 4:

47,351,185 ÷ 4 = 11,837,796.25

If the quotient is a whole number, then 4 and 11,837,796.25 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 47,351,185
-1 47,351,185
Keep dividing by the next highest number until you cannot divide anymore.

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

157356132,2073,0654,29111,03515,44921,45577,2451,352,8916,764,4559,470,23747,351,185
-1-5-7-35-613-2,207-3,065-4,291-11,035-15,449-21,455-77,245-1,352,891-6,764,455-9,470,237-47,351,185

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