Q: What are the factor combinations of the number 332,602,165?

 A:
Positive:   1 x 3326021655 x 665204337 x 4751459535 x 950291983 x 4007255415 x 801451581 x 5724652905 x 114493
Negative: -1 x -332602165-5 x -66520433-7 x -47514595-35 x -9502919-83 x -4007255-415 x -801451-581 x -572465-2905 x -114493


How do I find the factor combinations of the number 332,602,165?

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 332,602,165, 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.

1 332,602,165
-1 -332,602,165

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 332,602,165.

Example:
1 x 332,602,165 = 332,602,165
and
-1 x -332,602,165 = 332,602,165
Notice both answers equal 332,602,165

With that explanation out of the way, let's continue. Next, we take the number 332,602,165 and divide it by 2:

332,602,165 ÷ 2 = 166,301,082.5

If the quotient is a whole number, then 2 and 166,301,082.5 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:

1 332,602,165
-1 -332,602,165

Now, we try dividing 332,602,165 by 3:

332,602,165 ÷ 3 = 110,867,388.3333

If the quotient is a whole number, then 3 and 110,867,388.3333 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:

1 332,602,165
-1 -332,602,165

Let's try dividing by 4:

332,602,165 ÷ 4 = 83,150,541.25

If the quotient is a whole number, then 4 and 83,150,541.25 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:

1 332,602,165
-1 332,602,165
Keep dividing by the next highest number until you cannot divide anymore.

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

15735834155812,905114,493572,465801,4514,007,2559,502,91947,514,59566,520,433332,602,165
-1-5-7-35-83-415-581-2,905-114,493-572,465-801,451-4,007,255-9,502,919-47,514,595-66,520,433-332,602,165

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