Q: What are the factor combinations of the number 164,101,343?

 A:
Positive:   1 x 1641013437 x 2344304923 x 713484129 x 565866749 x 3349007161 x 1019263203 x 808381667 x 2460291127 x 1456091421 x 1154834669 x 351475021 x 32683
Negative: -1 x -164101343-7 x -23443049-23 x -7134841-29 x -5658667-49 x -3349007-161 x -1019263-203 x -808381-667 x -246029-1127 x -145609-1421 x -115483-4669 x -35147-5021 x -32683


How do I find the factor combinations of the number 164,101,343?

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 164,101,343, 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.

1 164,101,343
-1 -164,101,343

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 164,101,343.

Example:
1 x 164,101,343 = 164,101,343
and
-1 x -164,101,343 = 164,101,343
Notice both answers equal 164,101,343

With that explanation out of the way, let's continue. Next, we take the number 164,101,343 and divide it by 2:

164,101,343 ÷ 2 = 82,050,671.5

If the quotient is a whole number, then 2 and 82,050,671.5 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:

1 164,101,343
-1 -164,101,343

Now, we try dividing 164,101,343 by 3:

164,101,343 ÷ 3 = 54,700,447.6667

If the quotient is a whole number, then 3 and 54,700,447.6667 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:

1 164,101,343
-1 -164,101,343

Let's try dividing by 4:

164,101,343 ÷ 4 = 41,025,335.75

If the quotient is a whole number, then 4 and 41,025,335.75 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:

1 164,101,343
-1 164,101,343
Keep dividing by the next highest number until you cannot divide anymore.

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

172329491612036671,1271,4214,6695,02132,68335,147115,483145,609246,029808,3811,019,2633,349,0075,658,6677,134,84123,443,049164,101,343
-1-7-23-29-49-161-203-667-1,127-1,421-4,669-5,021-32,683-35,147-115,483-145,609-246,029-808,381-1,019,263-3,349,007-5,658,667-7,134,841-23,443,049-164,101,343

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