Q: What are the factor combinations of the number 112,242,445?

 A:
Positive:   1 x 1122424455 x 224484897 x 1603463535 x 3206927149 x 753305745 x 1506611043 x 1076155215 x 21523
Negative: -1 x -112242445-5 x -22448489-7 x -16034635-35 x -3206927-149 x -753305-745 x -150661-1043 x -107615-5215 x -21523


How do I find the factor combinations of the number 112,242,445?

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 112,242,445, 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.

1 112,242,445
-1 -112,242,445

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 112,242,445.

Example:
1 x 112,242,445 = 112,242,445
and
-1 x -112,242,445 = 112,242,445
Notice both answers equal 112,242,445

With that explanation out of the way, let's continue. Next, we take the number 112,242,445 and divide it by 2:

112,242,445 ÷ 2 = 56,121,222.5

If the quotient is a whole number, then 2 and 56,121,222.5 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:

1 112,242,445
-1 -112,242,445

Now, we try dividing 112,242,445 by 3:

112,242,445 ÷ 3 = 37,414,148.3333

If the quotient is a whole number, then 3 and 37,414,148.3333 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:

1 112,242,445
-1 -112,242,445

Let's try dividing by 4:

112,242,445 ÷ 4 = 28,060,611.25

If the quotient is a whole number, then 4 and 28,060,611.25 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:

1 112,242,445
-1 112,242,445
Keep dividing by the next highest number until you cannot divide anymore.

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

157351497451,0435,21521,523107,615150,661753,3053,206,92716,034,63522,448,489112,242,445
-1-5-7-35-149-745-1,043-5,215-21,523-107,615-150,661-753,305-3,206,927-16,034,635-22,448,489-112,242,445

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