Q: What are the factor combinations of the number 320,014,069?

 A:
Positive:   1 x 32001406917 x 1882435779 x 4050811239 x 1338971997 x 3209771343 x 2382834063 x 7876316949 x 18881
Negative: -1 x -320014069-17 x -18824357-79 x -4050811-239 x -1338971-997 x -320977-1343 x -238283-4063 x -78763-16949 x -18881


How do I find the factor combinations of the number 320,014,069?

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 320,014,069, 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.

1 320,014,069
-1 -320,014,069

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 320,014,069.

Example:
1 x 320,014,069 = 320,014,069
and
-1 x -320,014,069 = 320,014,069
Notice both answers equal 320,014,069

With that explanation out of the way, let's continue. Next, we take the number 320,014,069 and divide it by 2:

320,014,069 ÷ 2 = 160,007,034.5

If the quotient is a whole number, then 2 and 160,007,034.5 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:

1 320,014,069
-1 -320,014,069

Now, we try dividing 320,014,069 by 3:

320,014,069 ÷ 3 = 106,671,356.3333

If the quotient is a whole number, then 3 and 106,671,356.3333 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:

1 320,014,069
-1 -320,014,069

Let's try dividing by 4:

320,014,069 ÷ 4 = 80,003,517.25

If the quotient is a whole number, then 4 and 80,003,517.25 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:

1 320,014,069
-1 320,014,069
Keep dividing by the next highest number until you cannot divide anymore.

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

117792399971,3434,06316,94918,88178,763238,283320,9771,338,9714,050,81118,824,357320,014,069
-1-17-79-239-997-1,343-4,063-16,949-18,881-78,763-238,283-320,977-1,338,971-4,050,811-18,824,357-320,014,069

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