Q: What are the factor combinations of the number 131,013,203?

 A:
Positive:   1 x 13101320317 x 7706659157 x 834479191 x 685933257 x 5097792669 x 490873247 x 403494369 x 29987
Negative: -1 x -131013203-17 x -7706659-157 x -834479-191 x -685933-257 x -509779-2669 x -49087-3247 x -40349-4369 x -29987


How do I find the factor combinations of the number 131,013,203?

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 131,013,203, 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.

1 131,013,203
-1 -131,013,203

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 131,013,203.

Example:
1 x 131,013,203 = 131,013,203
and
-1 x -131,013,203 = 131,013,203
Notice both answers equal 131,013,203

With that explanation out of the way, let's continue. Next, we take the number 131,013,203 and divide it by 2:

131,013,203 ÷ 2 = 65,506,601.5

If the quotient is a whole number, then 2 and 65,506,601.5 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:

1 131,013,203
-1 -131,013,203

Now, we try dividing 131,013,203 by 3:

131,013,203 ÷ 3 = 43,671,067.6667

If the quotient is a whole number, then 3 and 43,671,067.6667 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:

1 131,013,203
-1 -131,013,203

Let's try dividing by 4:

131,013,203 ÷ 4 = 32,753,300.75

If the quotient is a whole number, then 4 and 32,753,300.75 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:

1 131,013,203
-1 131,013,203
Keep dividing by the next highest number until you cannot divide anymore.

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

1171571912572,6693,2474,36929,98740,34949,087509,779685,933834,4797,706,659131,013,203
-1-17-157-191-257-2,669-3,247-4,369-29,987-40,349-49,087-509,779-685,933-834,479-7,706,659-131,013,203

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