Q: What are the factor combinations of the number 112,319,999?

 A:
Positive:   1 x 11231999911 x 1021090943 x 261209383 x 1353253473 x 237463913 x 1230232861 x 392593569 x 31471
Negative: -1 x -112319999-11 x -10210909-43 x -2612093-83 x -1353253-473 x -237463-913 x -123023-2861 x -39259-3569 x -31471


How do I find the factor combinations of the number 112,319,999?

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 112,319,999, 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.

1 112,319,999
-1 -112,319,999

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 112,319,999.

Example:
1 x 112,319,999 = 112,319,999
and
-1 x -112,319,999 = 112,319,999
Notice both answers equal 112,319,999

With that explanation out of the way, let's continue. Next, we take the number 112,319,999 and divide it by 2:

112,319,999 ÷ 2 = 56,159,999.5

If the quotient is a whole number, then 2 and 56,159,999.5 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:

1 112,319,999
-1 -112,319,999

Now, we try dividing 112,319,999 by 3:

112,319,999 ÷ 3 = 37,439,999.6667

If the quotient is a whole number, then 3 and 37,439,999.6667 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:

1 112,319,999
-1 -112,319,999

Let's try dividing by 4:

112,319,999 ÷ 4 = 28,079,999.75

If the quotient is a whole number, then 4 and 28,079,999.75 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:

1 112,319,999
-1 112,319,999
Keep dividing by the next highest number until you cannot divide anymore.

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

11143834739132,8613,56931,47139,259123,023237,4631,353,2532,612,09310,210,909112,319,999
-1-11-43-83-473-913-2,861-3,569-31,471-39,259-123,023-237,463-1,353,253-2,612,093-10,210,909-112,319,999

More Examples

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