Q: What are the factor combinations of the number 355,034,335?

 A:
Positive:   1 x 3550343355 x 7100686761 x 5820235305 x 1164047313 x 11342951565 x 2268593719 x 9546518595 x 19093
Negative: -1 x -355034335-5 x -71006867-61 x -5820235-305 x -1164047-313 x -1134295-1565 x -226859-3719 x -95465-18595 x -19093


How do I find the factor combinations of the number 355,034,335?

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 355,034,335, 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.

1 355,034,335
-1 -355,034,335

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 355,034,335.

Example:
1 x 355,034,335 = 355,034,335
and
-1 x -355,034,335 = 355,034,335
Notice both answers equal 355,034,335

With that explanation out of the way, let's continue. Next, we take the number 355,034,335 and divide it by 2:

355,034,335 ÷ 2 = 177,517,167.5

If the quotient is a whole number, then 2 and 177,517,167.5 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:

1 355,034,335
-1 -355,034,335

Now, we try dividing 355,034,335 by 3:

355,034,335 ÷ 3 = 118,344,778.3333

If the quotient is a whole number, then 3 and 118,344,778.3333 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:

1 355,034,335
-1 -355,034,335

Let's try dividing by 4:

355,034,335 ÷ 4 = 88,758,583.75

If the quotient is a whole number, then 4 and 88,758,583.75 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:

1 355,034,335
-1 355,034,335
Keep dividing by the next highest number until you cannot divide anymore.

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

15613053131,5653,71918,59519,09395,465226,8591,134,2951,164,0475,820,23571,006,867355,034,335
-1-5-61-305-313-1,565-3,719-18,595-19,093-95,465-226,859-1,134,295-1,164,047-5,820,235-71,006,867-355,034,335

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