Q: What are the factor combinations of the number 47,441,245?

 A:
Positive:   1 x 474412455 x 948824929 x 163590597 x 489085145 x 327181485 x 978172813 x 168653373 x 14065
Negative: -1 x -47441245-5 x -9488249-29 x -1635905-97 x -489085-145 x -327181-485 x -97817-2813 x -16865-3373 x -14065


How do I find the factor combinations of the number 47,441,245?

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 47,441,245, 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 47,441,245
-1 -47,441,245

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 47,441,245.

Example:
1 x 47,441,245 = 47,441,245
and
-1 x -47,441,245 = 47,441,245
Notice both answers equal 47,441,245

With that explanation out of the way, let's continue. Next, we take the number 47,441,245 and divide it by 2:

47,441,245 ÷ 2 = 23,720,622.5

If the quotient is a whole number, then 2 and 23,720,622.5 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 47,441,245
-1 -47,441,245

Now, we try dividing 47,441,245 by 3:

47,441,245 ÷ 3 = 15,813,748.3333

If the quotient is a whole number, then 3 and 15,813,748.3333 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 47,441,245
-1 -47,441,245

Let's try dividing by 4:

47,441,245 ÷ 4 = 11,860,311.25

If the quotient is a whole number, then 4 and 11,860,311.25 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 47,441,245
-1 47,441,245
Keep dividing by the next highest number until you cannot divide anymore.

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

1529971454852,8133,37314,06516,86597,817327,181489,0851,635,9059,488,24947,441,245
-1-5-29-97-145-485-2,813-3,373-14,065-16,865-97,817-327,181-489,085-1,635,905-9,488,249-47,441,245

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