Q: What are the factor combinations of the number 162,067,213?

 A:
Positive:   1 x 1620672137 x 2315245911 x 1473338377 x 2104769467 x 3470393269 x 495774507 x 359595137 x 31549
Negative: -1 x -162067213-7 x -23152459-11 x -14733383-77 x -2104769-467 x -347039-3269 x -49577-4507 x -35959-5137 x -31549


How do I find the factor combinations of the number 162,067,213?

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 162,067,213, 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.

1 162,067,213
-1 -162,067,213

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 162,067,213.

Example:
1 x 162,067,213 = 162,067,213
and
-1 x -162,067,213 = 162,067,213
Notice both answers equal 162,067,213

With that explanation out of the way, let's continue. Next, we take the number 162,067,213 and divide it by 2:

162,067,213 ÷ 2 = 81,033,606.5

If the quotient is a whole number, then 2 and 81,033,606.5 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:

1 162,067,213
-1 -162,067,213

Now, we try dividing 162,067,213 by 3:

162,067,213 ÷ 3 = 54,022,404.3333

If the quotient is a whole number, then 3 and 54,022,404.3333 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:

1 162,067,213
-1 -162,067,213

Let's try dividing by 4:

162,067,213 ÷ 4 = 40,516,803.25

If the quotient is a whole number, then 4 and 40,516,803.25 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:

1 162,067,213
-1 162,067,213
Keep dividing by the next highest number until you cannot divide anymore.

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

1711774673,2694,5075,13731,54935,95949,577347,0392,104,76914,733,38323,152,459162,067,213
-1-7-11-77-467-3,269-4,507-5,137-31,549-35,959-49,577-347,039-2,104,769-14,733,383-23,152,459-162,067,213

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