Q: What are the factor combinations of the number 143,331,239?

 A:
Positive:   1 x 14333123923 x 623179353 x 2704363307 x 466877383 x 3742331219 x 1175817061 x 202998809 x 16271
Negative: -1 x -143331239-23 x -6231793-53 x -2704363-307 x -466877-383 x -374233-1219 x -117581-7061 x -20299-8809 x -16271


How do I find the factor combinations of the number 143,331,239?

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 143,331,239, 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.

1 143,331,239
-1 -143,331,239

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 143,331,239.

Example:
1 x 143,331,239 = 143,331,239
and
-1 x -143,331,239 = 143,331,239
Notice both answers equal 143,331,239

With that explanation out of the way, let's continue. Next, we take the number 143,331,239 and divide it by 2:

143,331,239 ÷ 2 = 71,665,619.5

If the quotient is a whole number, then 2 and 71,665,619.5 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:

1 143,331,239
-1 -143,331,239

Now, we try dividing 143,331,239 by 3:

143,331,239 ÷ 3 = 47,777,079.6667

If the quotient is a whole number, then 3 and 47,777,079.6667 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:

1 143,331,239
-1 -143,331,239

Let's try dividing by 4:

143,331,239 ÷ 4 = 35,832,809.75

If the quotient is a whole number, then 4 and 35,832,809.75 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:

1 143,331,239
-1 143,331,239
Keep dividing by the next highest number until you cannot divide anymore.

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

123533073831,2197,0618,80916,27120,299117,581374,233466,8772,704,3636,231,793143,331,239
-1-23-53-307-383-1,219-7,061-8,809-16,271-20,299-117,581-374,233-466,877-2,704,363-6,231,793-143,331,239

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