Q: What are the factor combinations of the number 142,323,467?

 A:
Positive:   1 x 14232346711 x 1293849713 x 10947959121 x 1176227143 x 995269173 x 822679523 x 2721291573 x 904791903 x 747892249 x 632835753 x 247396799 x 20933
Negative: -1 x -142323467-11 x -12938497-13 x -10947959-121 x -1176227-143 x -995269-173 x -822679-523 x -272129-1573 x -90479-1903 x -74789-2249 x -63283-5753 x -24739-6799 x -20933


How do I find the factor combinations of the number 142,323,467?

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 142,323,467, 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.

1 142,323,467
-1 -142,323,467

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 142,323,467.

Example:
1 x 142,323,467 = 142,323,467
and
-1 x -142,323,467 = 142,323,467
Notice both answers equal 142,323,467

With that explanation out of the way, let's continue. Next, we take the number 142,323,467 and divide it by 2:

142,323,467 ÷ 2 = 71,161,733.5

If the quotient is a whole number, then 2 and 71,161,733.5 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:

1 142,323,467
-1 -142,323,467

Now, we try dividing 142,323,467 by 3:

142,323,467 ÷ 3 = 47,441,155.6667

If the quotient is a whole number, then 3 and 47,441,155.6667 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:

1 142,323,467
-1 -142,323,467

Let's try dividing by 4:

142,323,467 ÷ 4 = 35,580,866.75

If the quotient is a whole number, then 4 and 35,580,866.75 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:

1 142,323,467
-1 142,323,467
Keep dividing by the next highest number until you cannot divide anymore.

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

111131211431735231,5731,9032,2495,7536,79920,93324,73963,28374,78990,479272,129822,679995,2691,176,22710,947,95912,938,497142,323,467
-1-11-13-121-143-173-523-1,573-1,903-2,249-5,753-6,799-20,933-24,739-63,283-74,789-90,479-272,129-822,679-995,269-1,176,227-10,947,959-12,938,497-142,323,467

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