Q: What are the factor combinations of the number 351,031,835?

 A:
Positive:   1 x 3510318355 x 702063677 x 5014740511 x 3191198535 x 1002948149 x 716391555 x 638239777 x 4558855245 x 1432783385 x 911771539 x 6512652695 x 130253
Negative: -1 x -351031835-5 x -70206367-7 x -50147405-11 x -31911985-35 x -10029481-49 x -7163915-55 x -6382397-77 x -4558855-245 x -1432783-385 x -911771-539 x -651265-2695 x -130253


How do I find the factor combinations of the number 351,031,835?

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 351,031,835, 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.

1 351,031,835
-1 -351,031,835

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 351,031,835.

Example:
1 x 351,031,835 = 351,031,835
and
-1 x -351,031,835 = 351,031,835
Notice both answers equal 351,031,835

With that explanation out of the way, let's continue. Next, we take the number 351,031,835 and divide it by 2:

351,031,835 ÷ 2 = 175,515,917.5

If the quotient is a whole number, then 2 and 175,515,917.5 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:

1 351,031,835
-1 -351,031,835

Now, we try dividing 351,031,835 by 3:

351,031,835 ÷ 3 = 117,010,611.6667

If the quotient is a whole number, then 3 and 117,010,611.6667 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:

1 351,031,835
-1 -351,031,835

Let's try dividing by 4:

351,031,835 ÷ 4 = 87,757,958.75

If the quotient is a whole number, then 4 and 87,757,958.75 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:

1 351,031,835
-1 351,031,835
Keep dividing by the next highest number until you cannot divide anymore.

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

15711354955772453855392,695130,253651,265911,7711,432,7834,558,8556,382,3977,163,91510,029,48131,911,98550,147,40570,206,367351,031,835
-1-5-7-11-35-49-55-77-245-385-539-2,695-130,253-651,265-911,771-1,432,783-4,558,855-6,382,397-7,163,915-10,029,481-31,911,985-50,147,405-70,206,367-351,031,835

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