Q: What are the factor combinations of the number 353,205,055?

 A:
Positive:   1 x 3532050555 x 706410117 x 5045786535 x 10091573263 x 13429851315 x 2685971841 x 1918559205 x 38371
Negative: -1 x -353205055-5 x -70641011-7 x -50457865-35 x -10091573-263 x -1342985-1315 x -268597-1841 x -191855-9205 x -38371


How do I find the factor combinations of the number 353,205,055?

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 353,205,055, 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.

1 353,205,055
-1 -353,205,055

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 353,205,055.

Example:
1 x 353,205,055 = 353,205,055
and
-1 x -353,205,055 = 353,205,055
Notice both answers equal 353,205,055

With that explanation out of the way, let's continue. Next, we take the number 353,205,055 and divide it by 2:

353,205,055 ÷ 2 = 176,602,527.5

If the quotient is a whole number, then 2 and 176,602,527.5 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:

1 353,205,055
-1 -353,205,055

Now, we try dividing 353,205,055 by 3:

353,205,055 ÷ 3 = 117,735,018.3333

If the quotient is a whole number, then 3 and 117,735,018.3333 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:

1 353,205,055
-1 -353,205,055

Let's try dividing by 4:

353,205,055 ÷ 4 = 88,301,263.75

If the quotient is a whole number, then 4 and 88,301,263.75 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:

1 353,205,055
-1 353,205,055
Keep dividing by the next highest number until you cannot divide anymore.

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

157352631,3151,8419,20538,371191,855268,5971,342,98510,091,57350,457,86570,641,011353,205,055
-1-5-7-35-263-1,315-1,841-9,205-38,371-191,855-268,597-1,342,985-10,091,573-50,457,865-70,641,011-353,205,055

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