Q: What are the factor combinations of the number 351,350,135?

 A:
Positive:   1 x 3513501355 x 7027002717 x 2066765585 x 4133531719 x 4886653595 x 977335749 x 6111512223 x 28745
Negative: -1 x -351350135-5 x -70270027-17 x -20667655-85 x -4133531-719 x -488665-3595 x -97733-5749 x -61115-12223 x -28745


How do I find the factor combinations of the number 351,350,135?

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 351,350,135, 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.

1 351,350,135
-1 -351,350,135

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 351,350,135.

Example:
1 x 351,350,135 = 351,350,135
and
-1 x -351,350,135 = 351,350,135
Notice both answers equal 351,350,135

With that explanation out of the way, let's continue. Next, we take the number 351,350,135 and divide it by 2:

351,350,135 ÷ 2 = 175,675,067.5

If the quotient is a whole number, then 2 and 175,675,067.5 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:

1 351,350,135
-1 -351,350,135

Now, we try dividing 351,350,135 by 3:

351,350,135 ÷ 3 = 117,116,711.6667

If the quotient is a whole number, then 3 and 117,116,711.6667 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:

1 351,350,135
-1 -351,350,135

Let's try dividing by 4:

351,350,135 ÷ 4 = 87,837,533.75

If the quotient is a whole number, then 4 and 87,837,533.75 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:

1 351,350,135
-1 351,350,135
Keep dividing by the next highest number until you cannot divide anymore.

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

1517857193,5955,74912,22328,74561,11597,733488,6654,133,53120,667,65570,270,027351,350,135
-1-5-17-85-719-3,595-5,749-12,223-28,745-61,115-97,733-488,665-4,133,531-20,667,655-70,270,027-351,350,135

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