Q: What are the factor combinations of the number 112,015,235?

 A:
Positive:   1 x 1120152355 x 2240304753 x 2113495139 x 805865265 x 422699695 x 1611733041 x 368357367 x 15205
Negative: -1 x -112015235-5 x -22403047-53 x -2113495-139 x -805865-265 x -422699-695 x -161173-3041 x -36835-7367 x -15205


How do I find the factor combinations of the number 112,015,235?

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 112,015,235, 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.

1 112,015,235
-1 -112,015,235

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 112,015,235.

Example:
1 x 112,015,235 = 112,015,235
and
-1 x -112,015,235 = 112,015,235
Notice both answers equal 112,015,235

With that explanation out of the way, let's continue. Next, we take the number 112,015,235 and divide it by 2:

112,015,235 ÷ 2 = 56,007,617.5

If the quotient is a whole number, then 2 and 56,007,617.5 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:

1 112,015,235
-1 -112,015,235

Now, we try dividing 112,015,235 by 3:

112,015,235 ÷ 3 = 37,338,411.6667

If the quotient is a whole number, then 3 and 37,338,411.6667 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:

1 112,015,235
-1 -112,015,235

Let's try dividing by 4:

112,015,235 ÷ 4 = 28,003,808.75

If the quotient is a whole number, then 4 and 28,003,808.75 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:

1 112,015,235
-1 112,015,235
Keep dividing by the next highest number until you cannot divide anymore.

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

15531392656953,0417,36715,20536,835161,173422,699805,8652,113,49522,403,047112,015,235
-1-5-53-139-265-695-3,041-7,367-15,205-36,835-161,173-422,699-805,865-2,113,495-22,403,047-112,015,235

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