Q: What are the factor combinations of the number 320,132,015?

 A:
Positive:   1 x 3201320155 x 640264037 x 4573314517 x 1883129529 x 1103903535 x 914662985 x 3766259119 x 2690185145 x 2207807203 x 1577005493 x 649355595 x 5380371015 x 3154012465 x 1298713451 x 9276517255 x 18553
Negative: -1 x -320132015-5 x -64026403-7 x -45733145-17 x -18831295-29 x -11039035-35 x -9146629-85 x -3766259-119 x -2690185-145 x -2207807-203 x -1577005-493 x -649355-595 x -538037-1015 x -315401-2465 x -129871-3451 x -92765-17255 x -18553


How do I find the factor combinations of the number 320,132,015?

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 320,132,015, 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.

1 320,132,015
-1 -320,132,015

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 320,132,015.

Example:
1 x 320,132,015 = 320,132,015
and
-1 x -320,132,015 = 320,132,015
Notice both answers equal 320,132,015

With that explanation out of the way, let's continue. Next, we take the number 320,132,015 and divide it by 2:

320,132,015 ÷ 2 = 160,066,007.5

If the quotient is a whole number, then 2 and 160,066,007.5 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:

1 320,132,015
-1 -320,132,015

Now, we try dividing 320,132,015 by 3:

320,132,015 ÷ 3 = 106,710,671.6667

If the quotient is a whole number, then 3 and 106,710,671.6667 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:

1 320,132,015
-1 -320,132,015

Let's try dividing by 4:

320,132,015 ÷ 4 = 80,033,003.75

If the quotient is a whole number, then 4 and 80,033,003.75 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:

1 320,132,015
-1 320,132,015
Keep dividing by the next highest number until you cannot divide anymore.

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

157172935851191452034935951,0152,4653,45117,25518,55392,765129,871315,401538,037649,3551,577,0052,207,8072,690,1853,766,2599,146,62911,039,03518,831,29545,733,14564,026,403320,132,015
-1-5-7-17-29-35-85-119-145-203-493-595-1,015-2,465-3,451-17,255-18,553-92,765-129,871-315,401-538,037-649,355-1,577,005-2,207,807-2,690,185-3,766,259-9,146,629-11,039,035-18,831,295-45,733,145-64,026,403-320,132,015

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