Q: What are the factor combinations of the number 47,428,885?

 A:
Positive:   1 x 474288855 x 94857777 x 677555535 x 1355111139 x 341215695 x 68243973 x 487454865 x 9749
Negative: -1 x -47428885-5 x -9485777-7 x -6775555-35 x -1355111-139 x -341215-695 x -68243-973 x -48745-4865 x -9749


How do I find the factor combinations of the number 47,428,885?

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 47,428,885, 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 47,428,885
-1 -47,428,885

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 47,428,885.

Example:
1 x 47,428,885 = 47,428,885
and
-1 x -47,428,885 = 47,428,885
Notice both answers equal 47,428,885

With that explanation out of the way, let's continue. Next, we take the number 47,428,885 and divide it by 2:

47,428,885 ÷ 2 = 23,714,442.5

If the quotient is a whole number, then 2 and 23,714,442.5 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 47,428,885
-1 -47,428,885

Now, we try dividing 47,428,885 by 3:

47,428,885 ÷ 3 = 15,809,628.3333

If the quotient is a whole number, then 3 and 15,809,628.3333 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 47,428,885
-1 -47,428,885

Let's try dividing by 4:

47,428,885 ÷ 4 = 11,857,221.25

If the quotient is a whole number, then 4 and 11,857,221.25 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 47,428,885
-1 47,428,885
Keep dividing by the next highest number until you cannot divide anymore.

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

157351396959734,8659,74948,74568,243341,2151,355,1116,775,5559,485,77747,428,885
-1-5-7-35-139-695-973-4,865-9,749-48,745-68,243-341,215-1,355,111-6,775,555-9,485,777-47,428,885

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