Q: What are the factor combinations of the number 131,212,423?

 A:
Positive:   1 x 13121242319 x 690591741 x 3200303389 x 337307433 x 303031779 x 1684377391 x 177538227 x 15949
Negative: -1 x -131212423-19 x -6905917-41 x -3200303-389 x -337307-433 x -303031-779 x -168437-7391 x -17753-8227 x -15949


How do I find the factor combinations of the number 131,212,423?

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 131,212,423, 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.

1 131,212,423
-1 -131,212,423

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 131,212,423.

Example:
1 x 131,212,423 = 131,212,423
and
-1 x -131,212,423 = 131,212,423
Notice both answers equal 131,212,423

With that explanation out of the way, let's continue. Next, we take the number 131,212,423 and divide it by 2:

131,212,423 ÷ 2 = 65,606,211.5

If the quotient is a whole number, then 2 and 65,606,211.5 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:

1 131,212,423
-1 -131,212,423

Now, we try dividing 131,212,423 by 3:

131,212,423 ÷ 3 = 43,737,474.3333

If the quotient is a whole number, then 3 and 43,737,474.3333 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:

1 131,212,423
-1 -131,212,423

Let's try dividing by 4:

131,212,423 ÷ 4 = 32,803,105.75

If the quotient is a whole number, then 4 and 32,803,105.75 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:

1 131,212,423
-1 131,212,423
Keep dividing by the next highest number until you cannot divide anymore.

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

119413894337797,3918,22715,94917,753168,437303,031337,3073,200,3036,905,917131,212,423
-1-19-41-389-433-779-7,391-8,227-15,949-17,753-168,437-303,031-337,307-3,200,303-6,905,917-131,212,423

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