Q: What are the factor combinations of the number 164,736,845?

 A:
Positive:   1 x 1647368455 x 329473697 x 2353383513 x 1267206535 x 470676765 x 253441391 x 1810295455 x 362059
Negative: -1 x -164736845-5 x -32947369-7 x -23533835-13 x -12672065-35 x -4706767-65 x -2534413-91 x -1810295-455 x -362059


How do I find the factor combinations of the number 164,736,845?

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 164,736,845, 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.

1 164,736,845
-1 -164,736,845

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 164,736,845.

Example:
1 x 164,736,845 = 164,736,845
and
-1 x -164,736,845 = 164,736,845
Notice both answers equal 164,736,845

With that explanation out of the way, let's continue. Next, we take the number 164,736,845 and divide it by 2:

164,736,845 ÷ 2 = 82,368,422.5

If the quotient is a whole number, then 2 and 82,368,422.5 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:

1 164,736,845
-1 -164,736,845

Now, we try dividing 164,736,845 by 3:

164,736,845 ÷ 3 = 54,912,281.6667

If the quotient is a whole number, then 3 and 54,912,281.6667 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:

1 164,736,845
-1 -164,736,845

Let's try dividing by 4:

164,736,845 ÷ 4 = 41,184,211.25

If the quotient is a whole number, then 4 and 41,184,211.25 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:

1 164,736,845
-1 164,736,845
Keep dividing by the next highest number until you cannot divide anymore.

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

15713356591455362,0591,810,2952,534,4134,706,76712,672,06523,533,83532,947,369164,736,845
-1-5-7-13-35-65-91-455-362,059-1,810,295-2,534,413-4,706,767-12,672,065-23,533,835-32,947,369-164,736,845

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