Q: What are the factor combinations of the number 323,002,175?

 A:
Positive:   1 x 3230021755 x 6460043525 x 1292008731 x 10419425155 x 2083885431 x 749425775 x 416777967 x 3340252155 x 1498854835 x 6680510775 x 2997713361 x 24175
Negative: -1 x -323002175-5 x -64600435-25 x -12920087-31 x -10419425-155 x -2083885-431 x -749425-775 x -416777-967 x -334025-2155 x -149885-4835 x -66805-10775 x -29977-13361 x -24175


How do I find the factor combinations of the number 323,002,175?

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 323,002,175, 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.

1 323,002,175
-1 -323,002,175

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 323,002,175.

Example:
1 x 323,002,175 = 323,002,175
and
-1 x -323,002,175 = 323,002,175
Notice both answers equal 323,002,175

With that explanation out of the way, let's continue. Next, we take the number 323,002,175 and divide it by 2:

323,002,175 ÷ 2 = 161,501,087.5

If the quotient is a whole number, then 2 and 161,501,087.5 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:

1 323,002,175
-1 -323,002,175

Now, we try dividing 323,002,175 by 3:

323,002,175 ÷ 3 = 107,667,391.6667

If the quotient is a whole number, then 3 and 107,667,391.6667 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:

1 323,002,175
-1 -323,002,175

Let's try dividing by 4:

323,002,175 ÷ 4 = 80,750,543.75

If the quotient is a whole number, then 4 and 80,750,543.75 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:

1 323,002,175
-1 323,002,175
Keep dividing by the next highest number until you cannot divide anymore.

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

1525311554317759672,1554,83510,77513,36124,17529,97766,805149,885334,025416,777749,4252,083,88510,419,42512,920,08764,600,435323,002,175
-1-5-25-31-155-431-775-967-2,155-4,835-10,775-13,361-24,175-29,977-66,805-149,885-334,025-416,777-749,425-2,083,885-10,419,425-12,920,087-64,600,435-323,002,175

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