Q: What are the factor combinations of the number 47,263,105?

 A:
Positive:   1 x 472631055 x 945262161 x 77480583 x 569435305 x 154961415 x 1138871867 x 253155063 x 9335
Negative: -1 x -47263105-5 x -9452621-61 x -774805-83 x -569435-305 x -154961-415 x -113887-1867 x -25315-5063 x -9335


How do I find the factor combinations of the number 47,263,105?

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 47,263,105, 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 47,263,105
-1 -47,263,105

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 47,263,105.

Example:
1 x 47,263,105 = 47,263,105
and
-1 x -47,263,105 = 47,263,105
Notice both answers equal 47,263,105

With that explanation out of the way, let's continue. Next, we take the number 47,263,105 and divide it by 2:

47,263,105 ÷ 2 = 23,631,552.5

If the quotient is a whole number, then 2 and 23,631,552.5 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 47,263,105
-1 -47,263,105

Now, we try dividing 47,263,105 by 3:

47,263,105 ÷ 3 = 15,754,368.3333

If the quotient is a whole number, then 3 and 15,754,368.3333 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 47,263,105
-1 -47,263,105

Let's try dividing by 4:

47,263,105 ÷ 4 = 11,815,776.25

If the quotient is a whole number, then 4 and 11,815,776.25 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 47,263,105
-1 47,263,105
Keep dividing by the next highest number until you cannot divide anymore.

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

1561833054151,8675,0639,33525,315113,887154,961569,435774,8059,452,62147,263,105
-1-5-61-83-305-415-1,867-5,063-9,335-25,315-113,887-154,961-569,435-774,805-9,452,621-47,263,105

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