Q: What are the factor combinations of the number 165,026,533?

 A:
Positive:   1 x 1650265337 x 2357521919 x 868560761 x 2705353133 x 1240801427 x 3864791159 x 1423878113 x 20341
Negative: -1 x -165026533-7 x -23575219-19 x -8685607-61 x -2705353-133 x -1240801-427 x -386479-1159 x -142387-8113 x -20341


How do I find the factor combinations of the number 165,026,533?

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 165,026,533, 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.

1 165,026,533
-1 -165,026,533

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 165,026,533.

Example:
1 x 165,026,533 = 165,026,533
and
-1 x -165,026,533 = 165,026,533
Notice both answers equal 165,026,533

With that explanation out of the way, let's continue. Next, we take the number 165,026,533 and divide it by 2:

165,026,533 ÷ 2 = 82,513,266.5

If the quotient is a whole number, then 2 and 82,513,266.5 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:

1 165,026,533
-1 -165,026,533

Now, we try dividing 165,026,533 by 3:

165,026,533 ÷ 3 = 55,008,844.3333

If the quotient is a whole number, then 3 and 55,008,844.3333 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:

1 165,026,533
-1 -165,026,533

Let's try dividing by 4:

165,026,533 ÷ 4 = 41,256,633.25

If the quotient is a whole number, then 4 and 41,256,633.25 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:

1 165,026,533
-1 165,026,533
Keep dividing by the next highest number until you cannot divide anymore.

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

1719611334271,1598,11320,341142,387386,4791,240,8012,705,3538,685,60723,575,219165,026,533
-1-7-19-61-133-427-1,159-8,113-20,341-142,387-386,479-1,240,801-2,705,353-8,685,607-23,575,219-165,026,533

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