Q: What are the factor combinations of the number 47,422,639?

 A:
Positive:   1 x 4742263911 x 431114917 x 2789567187 x 253597367 x 129217691 x 686294037 x 117476239 x 7601
Negative: -1 x -47422639-11 x -4311149-17 x -2789567-187 x -253597-367 x -129217-691 x -68629-4037 x -11747-6239 x -7601


How do I find the factor combinations of the number 47,422,639?

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 47,422,639, 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 47,422,639
-1 -47,422,639

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 47,422,639.

Example:
1 x 47,422,639 = 47,422,639
and
-1 x -47,422,639 = 47,422,639
Notice both answers equal 47,422,639

With that explanation out of the way, let's continue. Next, we take the number 47,422,639 and divide it by 2:

47,422,639 ÷ 2 = 23,711,319.5

If the quotient is a whole number, then 2 and 23,711,319.5 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 47,422,639
-1 -47,422,639

Now, we try dividing 47,422,639 by 3:

47,422,639 ÷ 3 = 15,807,546.3333

If the quotient is a whole number, then 3 and 15,807,546.3333 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 47,422,639
-1 -47,422,639

Let's try dividing by 4:

47,422,639 ÷ 4 = 11,855,659.75

If the quotient is a whole number, then 4 and 11,855,659.75 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 47,422,639
-1 47,422,639
Keep dividing by the next highest number until you cannot divide anymore.

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

111171873676914,0376,2397,60111,74768,629129,217253,5972,789,5674,311,14947,422,639
-1-11-17-187-367-691-4,037-6,239-7,601-11,747-68,629-129,217-253,597-2,789,567-4,311,149-47,422,639

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