Q: What are the factor combinations of the number 352,662,761?

 A:
Positive:   1 x 35266276111 x 3206025147 x 7503463499 x 706739517 x 6821331367 x 2579835489 x 6424915037 x 23453
Negative: -1 x -352662761-11 x -32060251-47 x -7503463-499 x -706739-517 x -682133-1367 x -257983-5489 x -64249-15037 x -23453


How do I find the factor combinations of the number 352,662,761?

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 352,662,761, 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.

1 352,662,761
-1 -352,662,761

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 352,662,761.

Example:
1 x 352,662,761 = 352,662,761
and
-1 x -352,662,761 = 352,662,761
Notice both answers equal 352,662,761

With that explanation out of the way, let's continue. Next, we take the number 352,662,761 and divide it by 2:

352,662,761 ÷ 2 = 176,331,380.5

If the quotient is a whole number, then 2 and 176,331,380.5 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:

1 352,662,761
-1 -352,662,761

Now, we try dividing 352,662,761 by 3:

352,662,761 ÷ 3 = 117,554,253.6667

If the quotient is a whole number, then 3 and 117,554,253.6667 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:

1 352,662,761
-1 -352,662,761

Let's try dividing by 4:

352,662,761 ÷ 4 = 88,165,690.25

If the quotient is a whole number, then 4 and 88,165,690.25 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:

1 352,662,761
-1 352,662,761
Keep dividing by the next highest number until you cannot divide anymore.

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

111474995171,3675,48915,03723,45364,249257,983682,133706,7397,503,46332,060,251352,662,761
-1-11-47-499-517-1,367-5,489-15,037-23,453-64,249-257,983-682,133-706,739-7,503,463-32,060,251-352,662,761

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