Q: What are the factor combinations of the number 352,250,353?

 A:
Positive:   1 x 3522503537 x 5032147913 x 2709618117 x 2072060991 x 3870883119 x 2960087221 x 15938931547 x 227699
Negative: -1 x -352250353-7 x -50321479-13 x -27096181-17 x -20720609-91 x -3870883-119 x -2960087-221 x -1593893-1547 x -227699


How do I find the factor combinations of the number 352,250,353?

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 352,250,353, 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.

1 352,250,353
-1 -352,250,353

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 352,250,353.

Example:
1 x 352,250,353 = 352,250,353
and
-1 x -352,250,353 = 352,250,353
Notice both answers equal 352,250,353

With that explanation out of the way, let's continue. Next, we take the number 352,250,353 and divide it by 2:

352,250,353 ÷ 2 = 176,125,176.5

If the quotient is a whole number, then 2 and 176,125,176.5 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:

1 352,250,353
-1 -352,250,353

Now, we try dividing 352,250,353 by 3:

352,250,353 ÷ 3 = 117,416,784.3333

If the quotient is a whole number, then 3 and 117,416,784.3333 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:

1 352,250,353
-1 -352,250,353

Let's try dividing by 4:

352,250,353 ÷ 4 = 88,062,588.25

If the quotient is a whole number, then 4 and 88,062,588.25 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:

1 352,250,353
-1 352,250,353
Keep dividing by the next highest number until you cannot divide anymore.

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

171317911192211,547227,6991,593,8932,960,0873,870,88320,720,60927,096,18150,321,479352,250,353
-1-7-13-17-91-119-221-1,547-227,699-1,593,893-2,960,087-3,870,883-20,720,609-27,096,181-50,321,479-352,250,353

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