Q: What are the factor combinations of the number 112,015,255?

 A:
Positive:   1 x 1120152555 x 2240305111 x 1018320529 x 386259555 x 2036641145 x 772519319 x 3511451595 x 70229
Negative: -1 x -112015255-5 x -22403051-11 x -10183205-29 x -3862595-55 x -2036641-145 x -772519-319 x -351145-1595 x -70229


How do I find the factor combinations of the number 112,015,255?

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 112,015,255, 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.

1 112,015,255
-1 -112,015,255

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 112,015,255.

Example:
1 x 112,015,255 = 112,015,255
and
-1 x -112,015,255 = 112,015,255
Notice both answers equal 112,015,255

With that explanation out of the way, let's continue. Next, we take the number 112,015,255 and divide it by 2:

112,015,255 ÷ 2 = 56,007,627.5

If the quotient is a whole number, then 2 and 56,007,627.5 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:

1 112,015,255
-1 -112,015,255

Now, we try dividing 112,015,255 by 3:

112,015,255 ÷ 3 = 37,338,418.3333

If the quotient is a whole number, then 3 and 37,338,418.3333 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:

1 112,015,255
-1 -112,015,255

Let's try dividing by 4:

112,015,255 ÷ 4 = 28,003,813.75

If the quotient is a whole number, then 4 and 28,003,813.75 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:

1 112,015,255
-1 112,015,255
Keep dividing by the next highest number until you cannot divide anymore.

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

151129551453191,59570,229351,145772,5192,036,6413,862,59510,183,20522,403,051112,015,255
-1-5-11-29-55-145-319-1,595-70,229-351,145-772,519-2,036,641-3,862,595-10,183,205-22,403,051-112,015,255

More Examples

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