Q: What are the factor combinations of the number 130,033,145?

 A:
Positive:   1 x 1300331455 x 2600662911 x 1182119523 x 565361555 x 2364239115 x 1130723253 x 5139651265 x 102793
Negative: -1 x -130033145-5 x -26006629-11 x -11821195-23 x -5653615-55 x -2364239-115 x -1130723-253 x -513965-1265 x -102793


How do I find the factor combinations of the number 130,033,145?

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 130,033,145, 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.

1 130,033,145
-1 -130,033,145

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 130,033,145.

Example:
1 x 130,033,145 = 130,033,145
and
-1 x -130,033,145 = 130,033,145
Notice both answers equal 130,033,145

With that explanation out of the way, let's continue. Next, we take the number 130,033,145 and divide it by 2:

130,033,145 ÷ 2 = 65,016,572.5

If the quotient is a whole number, then 2 and 65,016,572.5 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:

1 130,033,145
-1 -130,033,145

Now, we try dividing 130,033,145 by 3:

130,033,145 ÷ 3 = 43,344,381.6667

If the quotient is a whole number, then 3 and 43,344,381.6667 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:

1 130,033,145
-1 -130,033,145

Let's try dividing by 4:

130,033,145 ÷ 4 = 32,508,286.25

If the quotient is a whole number, then 4 and 32,508,286.25 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:

1 130,033,145
-1 130,033,145
Keep dividing by the next highest number until you cannot divide anymore.

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

151123551152531,265102,793513,9651,130,7232,364,2395,653,61511,821,19526,006,629130,033,145
-1-5-11-23-55-115-253-1,265-102,793-513,965-1,130,723-2,364,239-5,653,615-11,821,195-26,006,629-130,033,145

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