Q: What are the factor combinations of the number 162,858,367?

 A:
Positive:   1 x 1628583677 x 2326548119 x 857149383 x 1962149133 x 1224499581 x 2803071577 x 10327111039 x 14753
Negative: -1 x -162858367-7 x -23265481-19 x -8571493-83 x -1962149-133 x -1224499-581 x -280307-1577 x -103271-11039 x -14753


How do I find the factor combinations of the number 162,858,367?

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 162,858,367, 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.

1 162,858,367
-1 -162,858,367

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 162,858,367.

Example:
1 x 162,858,367 = 162,858,367
and
-1 x -162,858,367 = 162,858,367
Notice both answers equal 162,858,367

With that explanation out of the way, let's continue. Next, we take the number 162,858,367 and divide it by 2:

162,858,367 ÷ 2 = 81,429,183.5

If the quotient is a whole number, then 2 and 81,429,183.5 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:

1 162,858,367
-1 -162,858,367

Now, we try dividing 162,858,367 by 3:

162,858,367 ÷ 3 = 54,286,122.3333

If the quotient is a whole number, then 3 and 54,286,122.3333 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:

1 162,858,367
-1 -162,858,367

Let's try dividing by 4:

162,858,367 ÷ 4 = 40,714,591.75

If the quotient is a whole number, then 4 and 40,714,591.75 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:

1 162,858,367
-1 162,858,367
Keep dividing by the next highest number until you cannot divide anymore.

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

1719831335811,57711,03914,753103,271280,3071,224,4991,962,1498,571,49323,265,481162,858,367
-1-7-19-83-133-581-1,577-11,039-14,753-103,271-280,307-1,224,499-1,962,149-8,571,493-23,265,481-162,858,367

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