Q: What are the factor combinations of the number 352,158,205?

 A:
Positive:   1 x 3521582055 x 704316417 x 5030831535 x 1006166373 x 4824085365 x 964817511 x 6891552555 x 137831
Negative: -1 x -352158205-5 x -70431641-7 x -50308315-35 x -10061663-73 x -4824085-365 x -964817-511 x -689155-2555 x -137831


How do I find the factor combinations of the number 352,158,205?

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 352,158,205, 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.

1 352,158,205
-1 -352,158,205

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 352,158,205.

Example:
1 x 352,158,205 = 352,158,205
and
-1 x -352,158,205 = 352,158,205
Notice both answers equal 352,158,205

With that explanation out of the way, let's continue. Next, we take the number 352,158,205 and divide it by 2:

352,158,205 ÷ 2 = 176,079,102.5

If the quotient is a whole number, then 2 and 176,079,102.5 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:

1 352,158,205
-1 -352,158,205

Now, we try dividing 352,158,205 by 3:

352,158,205 ÷ 3 = 117,386,068.3333

If the quotient is a whole number, then 3 and 117,386,068.3333 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:

1 352,158,205
-1 -352,158,205

Let's try dividing by 4:

352,158,205 ÷ 4 = 88,039,551.25

If the quotient is a whole number, then 4 and 88,039,551.25 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:

1 352,158,205
-1 352,158,205
Keep dividing by the next highest number until you cannot divide anymore.

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

15735733655112,555137,831689,155964,8174,824,08510,061,66350,308,31570,431,641352,158,205
-1-5-7-35-73-365-511-2,555-137,831-689,155-964,817-4,824,085-10,061,663-50,308,315-70,431,641-352,158,205

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