Q: What are the factor combinations of the number 350,517,739?

 A:
Positive:   1 x 35051773911 x 3186524913 x 26962903143 x 2451173277 x 12654073047 x 1150373601 x 973398849 x 39611
Negative: -1 x -350517739-11 x -31865249-13 x -26962903-143 x -2451173-277 x -1265407-3047 x -115037-3601 x -97339-8849 x -39611


How do I find the factor combinations of the number 350,517,739?

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 350,517,739, 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.

1 350,517,739
-1 -350,517,739

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 350,517,739.

Example:
1 x 350,517,739 = 350,517,739
and
-1 x -350,517,739 = 350,517,739
Notice both answers equal 350,517,739

With that explanation out of the way, let's continue. Next, we take the number 350,517,739 and divide it by 2:

350,517,739 ÷ 2 = 175,258,869.5

If the quotient is a whole number, then 2 and 175,258,869.5 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:

1 350,517,739
-1 -350,517,739

Now, we try dividing 350,517,739 by 3:

350,517,739 ÷ 3 = 116,839,246.3333

If the quotient is a whole number, then 3 and 116,839,246.3333 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:

1 350,517,739
-1 -350,517,739

Let's try dividing by 4:

350,517,739 ÷ 4 = 87,629,434.75

If the quotient is a whole number, then 4 and 87,629,434.75 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:

1 350,517,739
-1 350,517,739
Keep dividing by the next highest number until you cannot divide anymore.

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

111131432773,0473,6018,84939,61197,339115,0371,265,4072,451,17326,962,90331,865,249350,517,739
-1-11-13-143-277-3,047-3,601-8,849-39,611-97,339-115,037-1,265,407-2,451,173-26,962,903-31,865,249-350,517,739

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