Q: What are the factor combinations of the number 47,814,481?

 A:
Positive:   1 x 4781448111 x 434677113 x 3678037113 x 423137121 x 395161143 x 334367269 x 1777491243 x 384671469 x 325491573 x 303972959 x 161593497 x 13673
Negative: -1 x -47814481-11 x -4346771-13 x -3678037-113 x -423137-121 x -395161-143 x -334367-269 x -177749-1243 x -38467-1469 x -32549-1573 x -30397-2959 x -16159-3497 x -13673


How do I find the factor combinations of the number 47,814,481?

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 47,814,481, 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 47,814,481
-1 -47,814,481

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 47,814,481.

Example:
1 x 47,814,481 = 47,814,481
and
-1 x -47,814,481 = 47,814,481
Notice both answers equal 47,814,481

With that explanation out of the way, let's continue. Next, we take the number 47,814,481 and divide it by 2:

47,814,481 ÷ 2 = 23,907,240.5

If the quotient is a whole number, then 2 and 23,907,240.5 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 47,814,481
-1 -47,814,481

Now, we try dividing 47,814,481 by 3:

47,814,481 ÷ 3 = 15,938,160.3333

If the quotient is a whole number, then 3 and 15,938,160.3333 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 47,814,481
-1 -47,814,481

Let's try dividing by 4:

47,814,481 ÷ 4 = 11,953,620.25

If the quotient is a whole number, then 4 and 11,953,620.25 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 47,814,481
-1 47,814,481
Keep dividing by the next highest number until you cannot divide anymore.

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

111131131211432691,2431,4691,5732,9593,49713,67316,15930,39732,54938,467177,749334,367395,161423,1373,678,0374,346,77147,814,481
-1-11-13-113-121-143-269-1,243-1,469-1,573-2,959-3,497-13,673-16,159-30,397-32,549-38,467-177,749-334,367-395,161-423,137-3,678,037-4,346,771-47,814,481

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