Q: What are the factor combinations of the number 178,016,503?

 A:
Positive:   1 x 1780165037 x 2543092917 x 10471559119 x 1495937839 x 2121771783 x 998415873 x 3031112481 x 14263
Negative: -1 x -178016503-7 x -25430929-17 x -10471559-119 x -1495937-839 x -212177-1783 x -99841-5873 x -30311-12481 x -14263


How do I find the factor combinations of the number 178,016,503?

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 178,016,503, 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.

1 178,016,503
-1 -178,016,503

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 178,016,503.

Example:
1 x 178,016,503 = 178,016,503
and
-1 x -178,016,503 = 178,016,503
Notice both answers equal 178,016,503

With that explanation out of the way, let's continue. Next, we take the number 178,016,503 and divide it by 2:

178,016,503 ÷ 2 = 89,008,251.5

If the quotient is a whole number, then 2 and 89,008,251.5 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:

1 178,016,503
-1 -178,016,503

Now, we try dividing 178,016,503 by 3:

178,016,503 ÷ 3 = 59,338,834.3333

If the quotient is a whole number, then 3 and 59,338,834.3333 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:

1 178,016,503
-1 -178,016,503

Let's try dividing by 4:

178,016,503 ÷ 4 = 44,504,125.75

If the quotient is a whole number, then 4 and 44,504,125.75 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:

1 178,016,503
-1 178,016,503
Keep dividing by the next highest number until you cannot divide anymore.

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

17171198391,7835,87312,48114,26330,31199,841212,1771,495,93710,471,55925,430,929178,016,503
-1-7-17-119-839-1,783-5,873-12,481-14,263-30,311-99,841-212,177-1,495,937-10,471,559-25,430,929-178,016,503

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