Q: What are the factor combinations of the number 118,536,925?

 A:
Positive:   1 x 1185369255 x 2370738513 x 911822525 x 474147765 x 1823645325 x 364729569 x 208325641 x 1849252845 x 416653205 x 369857397 x 160258333 x 14225
Negative: -1 x -118536925-5 x -23707385-13 x -9118225-25 x -4741477-65 x -1823645-325 x -364729-569 x -208325-641 x -184925-2845 x -41665-3205 x -36985-7397 x -16025-8333 x -14225


How do I find the factor combinations of the number 118,536,925?

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 118,536,925, 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.

1 118,536,925
-1 -118,536,925

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 118,536,925.

Example:
1 x 118,536,925 = 118,536,925
and
-1 x -118,536,925 = 118,536,925
Notice both answers equal 118,536,925

With that explanation out of the way, let's continue. Next, we take the number 118,536,925 and divide it by 2:

118,536,925 ÷ 2 = 59,268,462.5

If the quotient is a whole number, then 2 and 59,268,462.5 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:

1 118,536,925
-1 -118,536,925

Now, we try dividing 118,536,925 by 3:

118,536,925 ÷ 3 = 39,512,308.3333

If the quotient is a whole number, then 3 and 39,512,308.3333 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:

1 118,536,925
-1 -118,536,925

Let's try dividing by 4:

118,536,925 ÷ 4 = 29,634,231.25

If the quotient is a whole number, then 4 and 29,634,231.25 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:

1 118,536,925
-1 118,536,925
Keep dividing by the next highest number until you cannot divide anymore.

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

151325653255696412,8453,2057,3978,33314,22516,02536,98541,665184,925208,325364,7291,823,6454,741,4779,118,22523,707,385118,536,925
-1-5-13-25-65-325-569-641-2,845-3,205-7,397-8,333-14,225-16,025-36,985-41,665-184,925-208,325-364,729-1,823,645-4,741,477-9,118,225-23,707,385-118,536,925

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