Q: What are the factor combinations of the number 352,061,143?

 A:
Positive:   1 x 3520611437 x 5029444917 x 20709479119 x 2958497193 x 18241511351 x 2605933281 x 10730315329 x 22967
Negative: -1 x -352061143-7 x -50294449-17 x -20709479-119 x -2958497-193 x -1824151-1351 x -260593-3281 x -107303-15329 x -22967


How do I find the factor combinations of the number 352,061,143?

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 352,061,143, 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.

1 352,061,143
-1 -352,061,143

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 352,061,143.

Example:
1 x 352,061,143 = 352,061,143
and
-1 x -352,061,143 = 352,061,143
Notice both answers equal 352,061,143

With that explanation out of the way, let's continue. Next, we take the number 352,061,143 and divide it by 2:

352,061,143 ÷ 2 = 176,030,571.5

If the quotient is a whole number, then 2 and 176,030,571.5 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:

1 352,061,143
-1 -352,061,143

Now, we try dividing 352,061,143 by 3:

352,061,143 ÷ 3 = 117,353,714.3333

If the quotient is a whole number, then 3 and 117,353,714.3333 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:

1 352,061,143
-1 -352,061,143

Let's try dividing by 4:

352,061,143 ÷ 4 = 88,015,285.75

If the quotient is a whole number, then 4 and 88,015,285.75 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:

1 352,061,143
-1 352,061,143
Keep dividing by the next highest number until you cannot divide anymore.

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

17171191931,3513,28115,32922,967107,303260,5931,824,1512,958,49720,709,47950,294,449352,061,143
-1-7-17-119-193-1,351-3,281-15,329-22,967-107,303-260,593-1,824,151-2,958,497-20,709,479-50,294,449-352,061,143

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