Q: What are the factor combinations of the number 351,156,355?

 A:
Positive:   1 x 3511563555 x 7023127111 x 3192330555 x 6384661103 x 3409285515 x 6818571133 x 3099355665 x 61987
Negative: -1 x -351156355-5 x -70231271-11 x -31923305-55 x -6384661-103 x -3409285-515 x -681857-1133 x -309935-5665 x -61987


How do I find the factor combinations of the number 351,156,355?

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 351,156,355, 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.

1 351,156,355
-1 -351,156,355

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 351,156,355.

Example:
1 x 351,156,355 = 351,156,355
and
-1 x -351,156,355 = 351,156,355
Notice both answers equal 351,156,355

With that explanation out of the way, let's continue. Next, we take the number 351,156,355 and divide it by 2:

351,156,355 ÷ 2 = 175,578,177.5

If the quotient is a whole number, then 2 and 175,578,177.5 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:

1 351,156,355
-1 -351,156,355

Now, we try dividing 351,156,355 by 3:

351,156,355 ÷ 3 = 117,052,118.3333

If the quotient is a whole number, then 3 and 117,052,118.3333 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:

1 351,156,355
-1 -351,156,355

Let's try dividing by 4:

351,156,355 ÷ 4 = 87,789,088.75

If the quotient is a whole number, then 4 and 87,789,088.75 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:

1 351,156,355
-1 351,156,355
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551035151,1335,66561,987309,935681,8573,409,2856,384,66131,923,30570,231,271351,156,355
-1-5-11-55-103-515-1,133-5,665-61,987-309,935-681,857-3,409,285-6,384,661-31,923,305-70,231,271-351,156,355

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