Q: What are the factor combinations of the number 118,426,165?

 A:
Positive:   1 x 1184261655 x 2368523311 x 1076601513 x 910970517 x 696624555 x 215320365 x 182194185 x 1393249143 x 828155187 x 633295221 x 535865715 x 165631935 x 1266591105 x 1071732431 x 487159743 x 12155
Negative: -1 x -118426165-5 x -23685233-11 x -10766015-13 x -9109705-17 x -6966245-55 x -2153203-65 x -1821941-85 x -1393249-143 x -828155-187 x -633295-221 x -535865-715 x -165631-935 x -126659-1105 x -107173-2431 x -48715-9743 x -12155


How do I find the factor combinations of the number 118,426,165?

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 118,426,165, 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.

1 118,426,165
-1 -118,426,165

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 118,426,165.

Example:
1 x 118,426,165 = 118,426,165
and
-1 x -118,426,165 = 118,426,165
Notice both answers equal 118,426,165

With that explanation out of the way, let's continue. Next, we take the number 118,426,165 and divide it by 2:

118,426,165 ÷ 2 = 59,213,082.5

If the quotient is a whole number, then 2 and 59,213,082.5 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:

1 118,426,165
-1 -118,426,165

Now, we try dividing 118,426,165 by 3:

118,426,165 ÷ 3 = 39,475,388.3333

If the quotient is a whole number, then 3 and 39,475,388.3333 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:

1 118,426,165
-1 -118,426,165

Let's try dividing by 4:

118,426,165 ÷ 4 = 29,606,541.25

If the quotient is a whole number, then 4 and 29,606,541.25 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:

1 118,426,165
-1 118,426,165
Keep dividing by the next highest number until you cannot divide anymore.

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

151113175565851431872217159351,1052,4319,74312,15548,715107,173126,659165,631535,865633,295828,1551,393,2491,821,9412,153,2036,966,2459,109,70510,766,01523,685,233118,426,165
-1-5-11-13-17-55-65-85-143-187-221-715-935-1,105-2,431-9,743-12,155-48,715-107,173-126,659-165,631-535,865-633,295-828,155-1,393,249-1,821,941-2,153,203-6,966,245-9,109,705-10,766,015-23,685,233-118,426,165

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