Q: What are the factor combinations of the number 165,033,071?

 A:
Positive:   1 x 1650330717 x 2357615373 x 2260727127 x 1299473511 x 322961889 x 1856392543 x 648979271 x 17801
Negative: -1 x -165033071-7 x -23576153-73 x -2260727-127 x -1299473-511 x -322961-889 x -185639-2543 x -64897-9271 x -17801


How do I find the factor combinations of the number 165,033,071?

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 165,033,071, 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.

1 165,033,071
-1 -165,033,071

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 165,033,071.

Example:
1 x 165,033,071 = 165,033,071
and
-1 x -165,033,071 = 165,033,071
Notice both answers equal 165,033,071

With that explanation out of the way, let's continue. Next, we take the number 165,033,071 and divide it by 2:

165,033,071 ÷ 2 = 82,516,535.5

If the quotient is a whole number, then 2 and 82,516,535.5 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:

1 165,033,071
-1 -165,033,071

Now, we try dividing 165,033,071 by 3:

165,033,071 ÷ 3 = 55,011,023.6667

If the quotient is a whole number, then 3 and 55,011,023.6667 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:

1 165,033,071
-1 -165,033,071

Let's try dividing by 4:

165,033,071 ÷ 4 = 41,258,267.75

If the quotient is a whole number, then 4 and 41,258,267.75 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:

1 165,033,071
-1 165,033,071
Keep dividing by the next highest number until you cannot divide anymore.

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

17731275118892,5439,27117,80164,897185,639322,9611,299,4732,260,72723,576,153165,033,071
-1-7-73-127-511-889-2,543-9,271-17,801-64,897-185,639-322,961-1,299,473-2,260,727-23,576,153-165,033,071

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