Q: What are the factor combinations of the number 356,725,171?

 A:
Positive:   1 x 35672517111 x 3242956119 x 18775009209 x 1706819977 x 3651231747 x 20419310747 x 3319318563 x 19217
Negative: -1 x -356725171-11 x -32429561-19 x -18775009-209 x -1706819-977 x -365123-1747 x -204193-10747 x -33193-18563 x -19217


How do I find the factor combinations of the number 356,725,171?

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 356,725,171, 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.

1 356,725,171
-1 -356,725,171

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 356,725,171.

Example:
1 x 356,725,171 = 356,725,171
and
-1 x -356,725,171 = 356,725,171
Notice both answers equal 356,725,171

With that explanation out of the way, let's continue. Next, we take the number 356,725,171 and divide it by 2:

356,725,171 ÷ 2 = 178,362,585.5

If the quotient is a whole number, then 2 and 178,362,585.5 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:

1 356,725,171
-1 -356,725,171

Now, we try dividing 356,725,171 by 3:

356,725,171 ÷ 3 = 118,908,390.3333

If the quotient is a whole number, then 3 and 118,908,390.3333 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:

1 356,725,171
-1 -356,725,171

Let's try dividing by 4:

356,725,171 ÷ 4 = 89,181,292.75

If the quotient is a whole number, then 4 and 89,181,292.75 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:

1 356,725,171
-1 356,725,171
Keep dividing by the next highest number until you cannot divide anymore.

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

111192099771,74710,74718,56319,21733,193204,193365,1231,706,81918,775,00932,429,561356,725,171
-1-11-19-209-977-1,747-10,747-18,563-19,217-33,193-204,193-365,123-1,706,819-18,775,009-32,429,561-356,725,171

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