Q: What are the factor combinations of the number 112,504,105?

 A:
Positive:   1 x 1125041055 x 225008217 x 1607201535 x 32144031319 x 852952437 x 461656595 x 170599233 x 12185
Negative: -1 x -112504105-5 x -22500821-7 x -16072015-35 x -3214403-1319 x -85295-2437 x -46165-6595 x -17059-9233 x -12185


How do I find the factor combinations of the number 112,504,105?

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 112,504,105, 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.

1 112,504,105
-1 -112,504,105

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 112,504,105.

Example:
1 x 112,504,105 = 112,504,105
and
-1 x -112,504,105 = 112,504,105
Notice both answers equal 112,504,105

With that explanation out of the way, let's continue. Next, we take the number 112,504,105 and divide it by 2:

112,504,105 ÷ 2 = 56,252,052.5

If the quotient is a whole number, then 2 and 56,252,052.5 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:

1 112,504,105
-1 -112,504,105

Now, we try dividing 112,504,105 by 3:

112,504,105 ÷ 3 = 37,501,368.3333

If the quotient is a whole number, then 3 and 37,501,368.3333 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:

1 112,504,105
-1 -112,504,105

Let's try dividing by 4:

112,504,105 ÷ 4 = 28,126,026.25

If the quotient is a whole number, then 4 and 28,126,026.25 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:

1 112,504,105
-1 112,504,105
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,3192,4376,5959,23312,18517,05946,16585,2953,214,40316,072,01522,500,821112,504,105
-1-5-7-35-1,319-2,437-6,595-9,233-12,185-17,059-46,165-85,295-3,214,403-16,072,015-22,500,821-112,504,105

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