Q: What are the factor combinations of the number 164,351,033?

 A:
Positive:   1 x 1643510337 x 2347871911 x 1494100329 x 566727777 x 2134429121 x 1358273203 x 809611319 x 515207847 x 1940392233 x 736013509 x 468376691 x 24563
Negative: -1 x -164351033-7 x -23478719-11 x -14941003-29 x -5667277-77 x -2134429-121 x -1358273-203 x -809611-319 x -515207-847 x -194039-2233 x -73601-3509 x -46837-6691 x -24563


How do I find the factor combinations of the number 164,351,033?

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 164,351,033, 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.

1 164,351,033
-1 -164,351,033

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 164,351,033.

Example:
1 x 164,351,033 = 164,351,033
and
-1 x -164,351,033 = 164,351,033
Notice both answers equal 164,351,033

With that explanation out of the way, let's continue. Next, we take the number 164,351,033 and divide it by 2:

164,351,033 ÷ 2 = 82,175,516.5

If the quotient is a whole number, then 2 and 82,175,516.5 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:

1 164,351,033
-1 -164,351,033

Now, we try dividing 164,351,033 by 3:

164,351,033 ÷ 3 = 54,783,677.6667

If the quotient is a whole number, then 3 and 54,783,677.6667 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:

1 164,351,033
-1 -164,351,033

Let's try dividing by 4:

164,351,033 ÷ 4 = 41,087,758.25

If the quotient is a whole number, then 4 and 41,087,758.25 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:

1 164,351,033
-1 164,351,033
Keep dividing by the next highest number until you cannot divide anymore.

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

171129771212033198472,2333,5096,69124,56346,83773,601194,039515,207809,6111,358,2732,134,4295,667,27714,941,00323,478,719164,351,033
-1-7-11-29-77-121-203-319-847-2,233-3,509-6,691-24,563-46,837-73,601-194,039-515,207-809,611-1,358,273-2,134,429-5,667,277-14,941,003-23,478,719-164,351,033

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