Q: What are the factor combinations of the number 165,556,259?

 A:
Positive:   1 x 16555625911 x 1505056953 x 3123703199 x 831941583 x 2839731427 x 1160172189 x 7563110547 x 15697
Negative: -1 x -165556259-11 x -15050569-53 x -3123703-199 x -831941-583 x -283973-1427 x -116017-2189 x -75631-10547 x -15697


How do I find the factor combinations of the number 165,556,259?

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 165,556,259, 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.

1 165,556,259
-1 -165,556,259

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 165,556,259.

Example:
1 x 165,556,259 = 165,556,259
and
-1 x -165,556,259 = 165,556,259
Notice both answers equal 165,556,259

With that explanation out of the way, let's continue. Next, we take the number 165,556,259 and divide it by 2:

165,556,259 ÷ 2 = 82,778,129.5

If the quotient is a whole number, then 2 and 82,778,129.5 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:

1 165,556,259
-1 -165,556,259

Now, we try dividing 165,556,259 by 3:

165,556,259 ÷ 3 = 55,185,419.6667

If the quotient is a whole number, then 3 and 55,185,419.6667 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:

1 165,556,259
-1 -165,556,259

Let's try dividing by 4:

165,556,259 ÷ 4 = 41,389,064.75

If the quotient is a whole number, then 4 and 41,389,064.75 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:

1 165,556,259
-1 165,556,259
Keep dividing by the next highest number until you cannot divide anymore.

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

111531995831,4272,18910,54715,69775,631116,017283,973831,9413,123,70315,050,569165,556,259
-1-11-53-199-583-1,427-2,189-10,547-15,697-75,631-116,017-283,973-831,941-3,123,703-15,050,569-165,556,259

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