Q: What are the factor combinations of the number 130,220,119?

 A:
Positive:   1 x 13022011917 x 766000731 x 4200649103 x 1264273527 x 2470971751 x 743692399 x 542813193 x 40783
Negative: -1 x -130220119-17 x -7660007-31 x -4200649-103 x -1264273-527 x -247097-1751 x -74369-2399 x -54281-3193 x -40783


How do I find the factor combinations of the number 130,220,119?

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 130,220,119, 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.

1 130,220,119
-1 -130,220,119

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 130,220,119.

Example:
1 x 130,220,119 = 130,220,119
and
-1 x -130,220,119 = 130,220,119
Notice both answers equal 130,220,119

With that explanation out of the way, let's continue. Next, we take the number 130,220,119 and divide it by 2:

130,220,119 ÷ 2 = 65,110,059.5

If the quotient is a whole number, then 2 and 65,110,059.5 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:

1 130,220,119
-1 -130,220,119

Now, we try dividing 130,220,119 by 3:

130,220,119 ÷ 3 = 43,406,706.3333

If the quotient is a whole number, then 3 and 43,406,706.3333 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:

1 130,220,119
-1 -130,220,119

Let's try dividing by 4:

130,220,119 ÷ 4 = 32,555,029.75

If the quotient is a whole number, then 4 and 32,555,029.75 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:

1 130,220,119
-1 130,220,119
Keep dividing by the next highest number until you cannot divide anymore.

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

117311035271,7512,3993,19340,78354,28174,369247,0971,264,2734,200,6497,660,007130,220,119
-1-17-31-103-527-1,751-2,399-3,193-40,783-54,281-74,369-247,097-1,264,273-4,200,649-7,660,007-130,220,119

More Examples

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