Q: What are the factor combinations of the number 130,150,465?

 A:
Positive:   1 x 1301504655 x 2603009343 x 3026755131 x 993515215 x 605351655 x 1987034621 x 281655633 x 23105
Negative: -1 x -130150465-5 x -26030093-43 x -3026755-131 x -993515-215 x -605351-655 x -198703-4621 x -28165-5633 x -23105


How do I find the factor combinations of the number 130,150,465?

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 130,150,465, 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.

1 130,150,465
-1 -130,150,465

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 130,150,465.

Example:
1 x 130,150,465 = 130,150,465
and
-1 x -130,150,465 = 130,150,465
Notice both answers equal 130,150,465

With that explanation out of the way, let's continue. Next, we take the number 130,150,465 and divide it by 2:

130,150,465 ÷ 2 = 65,075,232.5

If the quotient is a whole number, then 2 and 65,075,232.5 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:

1 130,150,465
-1 -130,150,465

Now, we try dividing 130,150,465 by 3:

130,150,465 ÷ 3 = 43,383,488.3333

If the quotient is a whole number, then 3 and 43,383,488.3333 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:

1 130,150,465
-1 -130,150,465

Let's try dividing by 4:

130,150,465 ÷ 4 = 32,537,616.25

If the quotient is a whole number, then 4 and 32,537,616.25 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:

1 130,150,465
-1 130,150,465
Keep dividing by the next highest number until you cannot divide anymore.

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

15431312156554,6215,63323,10528,165198,703605,351993,5153,026,75526,030,093130,150,465
-1-5-43-131-215-655-4,621-5,633-23,105-28,165-198,703-605,351-993,515-3,026,755-26,030,093-130,150,465

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