Q: What are the factor combinations of the number 118,444,445?

 A:
Positive:   1 x 1184444455 x 236888897 x 1692063535 x 3384127
Negative: -1 x -118444445-5 x -23688889-7 x -16920635-35 x -3384127


How do I find the factor combinations of the number 118,444,445?

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 118,444,445, 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.

1 118,444,445
-1 -118,444,445

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 118,444,445.

Example:
1 x 118,444,445 = 118,444,445
and
-1 x -118,444,445 = 118,444,445
Notice both answers equal 118,444,445

With that explanation out of the way, let's continue. Next, we take the number 118,444,445 and divide it by 2:

118,444,445 ÷ 2 = 59,222,222.5

If the quotient is a whole number, then 2 and 59,222,222.5 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:

1 118,444,445
-1 -118,444,445

Now, we try dividing 118,444,445 by 3:

118,444,445 ÷ 3 = 39,481,481.6667

If the quotient is a whole number, then 3 and 39,481,481.6667 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:

1 118,444,445
-1 -118,444,445

Let's try dividing by 4:

118,444,445 ÷ 4 = 29,611,111.25

If the quotient is a whole number, then 4 and 29,611,111.25 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:

1 118,444,445
-1 118,444,445
Keep dividing by the next highest number until you cannot divide anymore.

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

157353,384,12716,920,63523,688,889118,444,445
-1-5-7-35-3,384,127-16,920,635-23,688,889-118,444,445

More Examples

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