Q: What are the factor combinations of the number 130,320,143?

 A:
Positive:   1 x 13032014343 x 303070147 x 27727692021 x 64483
Negative: -1 x -130320143-43 x -3030701-47 x -2772769-2021 x -64483


How do I find the factor combinations of the number 130,320,143?

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 130,320,143, 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.

1 130,320,143
-1 -130,320,143

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 130,320,143.

Example:
1 x 130,320,143 = 130,320,143
and
-1 x -130,320,143 = 130,320,143
Notice both answers equal 130,320,143

With that explanation out of the way, let's continue. Next, we take the number 130,320,143 and divide it by 2:

130,320,143 ÷ 2 = 65,160,071.5

If the quotient is a whole number, then 2 and 65,160,071.5 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:

1 130,320,143
-1 -130,320,143

Now, we try dividing 130,320,143 by 3:

130,320,143 ÷ 3 = 43,440,047.6667

If the quotient is a whole number, then 3 and 43,440,047.6667 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:

1 130,320,143
-1 -130,320,143

Let's try dividing by 4:

130,320,143 ÷ 4 = 32,580,035.75

If the quotient is a whole number, then 4 and 32,580,035.75 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:

1 130,320,143
-1 130,320,143
Keep dividing by the next highest number until you cannot divide anymore.

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

143472,02164,4832,772,7693,030,701130,320,143
-1-43-47-2,021-64,483-2,772,769-3,030,701-130,320,143

More Examples

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