Q: What are the factor combinations of the number 130,146,203?

 A:
Positive:   1 x 13014620311 x 1183147317 x 7655659187 x 695969307 x 4239292267 x 574093377 x 385395219 x 24937
Negative: -1 x -130146203-11 x -11831473-17 x -7655659-187 x -695969-307 x -423929-2267 x -57409-3377 x -38539-5219 x -24937


How do I find the factor combinations of the number 130,146,203?

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 130,146,203, 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.

1 130,146,203
-1 -130,146,203

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 130,146,203.

Example:
1 x 130,146,203 = 130,146,203
and
-1 x -130,146,203 = 130,146,203
Notice both answers equal 130,146,203

With that explanation out of the way, let's continue. Next, we take the number 130,146,203 and divide it by 2:

130,146,203 ÷ 2 = 65,073,101.5

If the quotient is a whole number, then 2 and 65,073,101.5 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:

1 130,146,203
-1 -130,146,203

Now, we try dividing 130,146,203 by 3:

130,146,203 ÷ 3 = 43,382,067.6667

If the quotient is a whole number, then 3 and 43,382,067.6667 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:

1 130,146,203
-1 -130,146,203

Let's try dividing by 4:

130,146,203 ÷ 4 = 32,536,550.75

If the quotient is a whole number, then 4 and 32,536,550.75 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:

1 130,146,203
-1 130,146,203
Keep dividing by the next highest number until you cannot divide anymore.

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

111171873072,2673,3775,21924,93738,53957,409423,929695,9697,655,65911,831,473130,146,203
-1-11-17-187-307-2,267-3,377-5,219-24,937-38,539-57,409-423,929-695,969-7,655,659-11,831,473-130,146,203

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