Q: What are the factor combinations of the number 130,230,035?

 A:
Positive:   1 x 1302300355 x 2604600713 x 1001769565 x 2003539421 x 3093352105 x 618674759 x 273655473 x 23795
Negative: -1 x -130230035-5 x -26046007-13 x -10017695-65 x -2003539-421 x -309335-2105 x -61867-4759 x -27365-5473 x -23795


How do I find the factor combinations of the number 130,230,035?

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 130,230,035, 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.

1 130,230,035
-1 -130,230,035

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 130,230,035.

Example:
1 x 130,230,035 = 130,230,035
and
-1 x -130,230,035 = 130,230,035
Notice both answers equal 130,230,035

With that explanation out of the way, let's continue. Next, we take the number 130,230,035 and divide it by 2:

130,230,035 ÷ 2 = 65,115,017.5

If the quotient is a whole number, then 2 and 65,115,017.5 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:

1 130,230,035
-1 -130,230,035

Now, we try dividing 130,230,035 by 3:

130,230,035 ÷ 3 = 43,410,011.6667

If the quotient is a whole number, then 3 and 43,410,011.6667 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:

1 130,230,035
-1 -130,230,035

Let's try dividing by 4:

130,230,035 ÷ 4 = 32,557,508.75

If the quotient is a whole number, then 4 and 32,557,508.75 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:

1 130,230,035
-1 130,230,035
Keep dividing by the next highest number until you cannot divide anymore.

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

1513654212,1054,7595,47323,79527,36561,867309,3352,003,53910,017,69526,046,007130,230,035
-1-5-13-65-421-2,105-4,759-5,473-23,795-27,365-61,867-309,335-2,003,539-10,017,695-26,046,007-130,230,035

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