Q: What are the factor combinations of the number 142,633,519?

 A:
Positive:   1 x 1426335197 x 2037621717 x 8390207119 x 1198601787 x 1812371523 x 936535509 x 2589110661 x 13379
Negative: -1 x -142633519-7 x -20376217-17 x -8390207-119 x -1198601-787 x -181237-1523 x -93653-5509 x -25891-10661 x -13379


How do I find the factor combinations of the number 142,633,519?

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 142,633,519, 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.

1 142,633,519
-1 -142,633,519

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 142,633,519.

Example:
1 x 142,633,519 = 142,633,519
and
-1 x -142,633,519 = 142,633,519
Notice both answers equal 142,633,519

With that explanation out of the way, let's continue. Next, we take the number 142,633,519 and divide it by 2:

142,633,519 ÷ 2 = 71,316,759.5

If the quotient is a whole number, then 2 and 71,316,759.5 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:

1 142,633,519
-1 -142,633,519

Now, we try dividing 142,633,519 by 3:

142,633,519 ÷ 3 = 47,544,506.3333

If the quotient is a whole number, then 3 and 47,544,506.3333 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:

1 142,633,519
-1 -142,633,519

Let's try dividing by 4:

142,633,519 ÷ 4 = 35,658,379.75

If the quotient is a whole number, then 4 and 35,658,379.75 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:

1 142,633,519
-1 142,633,519
Keep dividing by the next highest number until you cannot divide anymore.

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

17171197871,5235,50910,66113,37925,89193,653181,2371,198,6018,390,20720,376,217142,633,519
-1-7-17-119-787-1,523-5,509-10,661-13,379-25,891-93,653-181,237-1,198,601-8,390,207-20,376,217-142,633,519

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