Q: What are the factor combinations of the number 353,332,499?

 A:
Positive:   1 x 35333249913 x 2717942337 x 9549527481 x 734579569 x 6209711291 x 2736897397 x 4776716783 x 21053
Negative: -1 x -353332499-13 x -27179423-37 x -9549527-481 x -734579-569 x -620971-1291 x -273689-7397 x -47767-16783 x -21053


How do I find the factor combinations of the number 353,332,499?

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 353,332,499, 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.

1 353,332,499
-1 -353,332,499

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 353,332,499.

Example:
1 x 353,332,499 = 353,332,499
and
-1 x -353,332,499 = 353,332,499
Notice both answers equal 353,332,499

With that explanation out of the way, let's continue. Next, we take the number 353,332,499 and divide it by 2:

353,332,499 ÷ 2 = 176,666,249.5

If the quotient is a whole number, then 2 and 176,666,249.5 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:

1 353,332,499
-1 -353,332,499

Now, we try dividing 353,332,499 by 3:

353,332,499 ÷ 3 = 117,777,499.6667

If the quotient is a whole number, then 3 and 117,777,499.6667 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:

1 353,332,499
-1 -353,332,499

Let's try dividing by 4:

353,332,499 ÷ 4 = 88,333,124.75

If the quotient is a whole number, then 4 and 88,333,124.75 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:

1 353,332,499
-1 353,332,499
Keep dividing by the next highest number until you cannot divide anymore.

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

113374815691,2917,39716,78321,05347,767273,689620,971734,5799,549,52727,179,423353,332,499
-1-13-37-481-569-1,291-7,397-16,783-21,053-47,767-273,689-620,971-734,579-9,549,527-27,179,423-353,332,499

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