Q: What are the factor combinations of the number 164,052,161?

 A:
Positive:   1 x 1640521617 x 2343602313 x 1261939791 x 1802771353 x 4647372471 x 663914589 x 357495107 x 32123
Negative: -1 x -164052161-7 x -23436023-13 x -12619397-91 x -1802771-353 x -464737-2471 x -66391-4589 x -35749-5107 x -32123


How do I find the factor combinations of the number 164,052,161?

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 164,052,161, 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.

1 164,052,161
-1 -164,052,161

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 164,052,161.

Example:
1 x 164,052,161 = 164,052,161
and
-1 x -164,052,161 = 164,052,161
Notice both answers equal 164,052,161

With that explanation out of the way, let's continue. Next, we take the number 164,052,161 and divide it by 2:

164,052,161 ÷ 2 = 82,026,080.5

If the quotient is a whole number, then 2 and 82,026,080.5 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:

1 164,052,161
-1 -164,052,161

Now, we try dividing 164,052,161 by 3:

164,052,161 ÷ 3 = 54,684,053.6667

If the quotient is a whole number, then 3 and 54,684,053.6667 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:

1 164,052,161
-1 -164,052,161

Let's try dividing by 4:

164,052,161 ÷ 4 = 41,013,040.25

If the quotient is a whole number, then 4 and 41,013,040.25 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:

1 164,052,161
-1 164,052,161
Keep dividing by the next highest number until you cannot divide anymore.

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

1713913532,4714,5895,10732,12335,74966,391464,7371,802,77112,619,39723,436,023164,052,161
-1-7-13-91-353-2,471-4,589-5,107-32,123-35,749-66,391-464,737-1,802,771-12,619,397-23,436,023-164,052,161

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