Q: What are the factor combinations of the number 350,634,311?

 A:
Positive:   1 x 35063431137 x 947660379 x 4438409139 x 2522549863 x 4062972923 x 1199575143 x 6817710981 x 31931
Negative: -1 x -350634311-37 x -9476603-79 x -4438409-139 x -2522549-863 x -406297-2923 x -119957-5143 x -68177-10981 x -31931


How do I find the factor combinations of the number 350,634,311?

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 350,634,311, 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.

1 350,634,311
-1 -350,634,311

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 350,634,311.

Example:
1 x 350,634,311 = 350,634,311
and
-1 x -350,634,311 = 350,634,311
Notice both answers equal 350,634,311

With that explanation out of the way, let's continue. Next, we take the number 350,634,311 and divide it by 2:

350,634,311 ÷ 2 = 175,317,155.5

If the quotient is a whole number, then 2 and 175,317,155.5 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:

1 350,634,311
-1 -350,634,311

Now, we try dividing 350,634,311 by 3:

350,634,311 ÷ 3 = 116,878,103.6667

If the quotient is a whole number, then 3 and 116,878,103.6667 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:

1 350,634,311
-1 -350,634,311

Let's try dividing by 4:

350,634,311 ÷ 4 = 87,658,577.75

If the quotient is a whole number, then 4 and 87,658,577.75 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:

1 350,634,311
-1 350,634,311
Keep dividing by the next highest number until you cannot divide anymore.

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

137791398632,9235,14310,98131,93168,177119,957406,2972,522,5494,438,4099,476,603350,634,311
-1-37-79-139-863-2,923-5,143-10,981-31,931-68,177-119,957-406,297-2,522,549-4,438,409-9,476,603-350,634,311

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