Q: What are the factor combinations of the number 164,246,131?

 A:
Positive:   1 x 1642461317 x 2346373373 x 2249947293 x 560567511 x 3214211097 x 1497232051 x 800817679 x 21389
Negative: -1 x -164246131-7 x -23463733-73 x -2249947-293 x -560567-511 x -321421-1097 x -149723-2051 x -80081-7679 x -21389


How do I find the factor combinations of the number 164,246,131?

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 164,246,131, 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.

1 164,246,131
-1 -164,246,131

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 164,246,131.

Example:
1 x 164,246,131 = 164,246,131
and
-1 x -164,246,131 = 164,246,131
Notice both answers equal 164,246,131

With that explanation out of the way, let's continue. Next, we take the number 164,246,131 and divide it by 2:

164,246,131 ÷ 2 = 82,123,065.5

If the quotient is a whole number, then 2 and 82,123,065.5 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:

1 164,246,131
-1 -164,246,131

Now, we try dividing 164,246,131 by 3:

164,246,131 ÷ 3 = 54,748,710.3333

If the quotient is a whole number, then 3 and 54,748,710.3333 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:

1 164,246,131
-1 -164,246,131

Let's try dividing by 4:

164,246,131 ÷ 4 = 41,061,532.75

If the quotient is a whole number, then 4 and 41,061,532.75 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:

1 164,246,131
-1 164,246,131
Keep dividing by the next highest number until you cannot divide anymore.

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

17732935111,0972,0517,67921,38980,081149,723321,421560,5672,249,94723,463,733164,246,131
-1-7-73-293-511-1,097-2,051-7,679-21,389-80,081-149,723-321,421-560,567-2,249,947-23,463,733-164,246,131

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