Q: What are the factor combinations of the number 130,046,305?

 A:
Positive:   1 x 1300463055 x 2600926137 x 3514765185 x 702953401 x 3243051753 x 741852005 x 648618765 x 14837
Negative: -1 x -130046305-5 x -26009261-37 x -3514765-185 x -702953-401 x -324305-1753 x -74185-2005 x -64861-8765 x -14837


How do I find the factor combinations of the number 130,046,305?

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 130,046,305, 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.

1 130,046,305
-1 -130,046,305

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 130,046,305.

Example:
1 x 130,046,305 = 130,046,305
and
-1 x -130,046,305 = 130,046,305
Notice both answers equal 130,046,305

With that explanation out of the way, let's continue. Next, we take the number 130,046,305 and divide it by 2:

130,046,305 ÷ 2 = 65,023,152.5

If the quotient is a whole number, then 2 and 65,023,152.5 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:

1 130,046,305
-1 -130,046,305

Now, we try dividing 130,046,305 by 3:

130,046,305 ÷ 3 = 43,348,768.3333

If the quotient is a whole number, then 3 and 43,348,768.3333 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:

1 130,046,305
-1 -130,046,305

Let's try dividing by 4:

130,046,305 ÷ 4 = 32,511,576.25

If the quotient is a whole number, then 4 and 32,511,576.25 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:

1 130,046,305
-1 130,046,305
Keep dividing by the next highest number until you cannot divide anymore.

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

15371854011,7532,0058,76514,83764,86174,185324,305702,9533,514,76526,009,261130,046,305
-1-5-37-185-401-1,753-2,005-8,765-14,837-64,861-74,185-324,305-702,953-3,514,765-26,009,261-130,046,305

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