Q: What are the factor combinations of the number 164,305,537?

 A:
Positive:   1 x 16430553711 x 1493686723 x 714371943 x 3821059121 x 1357897253 x 649429473 x 347369989 x 1661331373 x 1196692783 x 590395203 x 3157910879 x 15103
Negative: -1 x -164305537-11 x -14936867-23 x -7143719-43 x -3821059-121 x -1357897-253 x -649429-473 x -347369-989 x -166133-1373 x -119669-2783 x -59039-5203 x -31579-10879 x -15103


How do I find the factor combinations of the number 164,305,537?

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 164,305,537, 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.

1 164,305,537
-1 -164,305,537

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 164,305,537.

Example:
1 x 164,305,537 = 164,305,537
and
-1 x -164,305,537 = 164,305,537
Notice both answers equal 164,305,537

With that explanation out of the way, let's continue. Next, we take the number 164,305,537 and divide it by 2:

164,305,537 ÷ 2 = 82,152,768.5

If the quotient is a whole number, then 2 and 82,152,768.5 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:

1 164,305,537
-1 -164,305,537

Now, we try dividing 164,305,537 by 3:

164,305,537 ÷ 3 = 54,768,512.3333

If the quotient is a whole number, then 3 and 54,768,512.3333 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:

1 164,305,537
-1 -164,305,537

Let's try dividing by 4:

164,305,537 ÷ 4 = 41,076,384.25

If the quotient is a whole number, then 4 and 41,076,384.25 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:

1 164,305,537
-1 164,305,537
Keep dividing by the next highest number until you cannot divide anymore.

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

11123431212534739891,3732,7835,20310,87915,10331,57959,039119,669166,133347,369649,4291,357,8973,821,0597,143,71914,936,867164,305,537
-1-11-23-43-121-253-473-989-1,373-2,783-5,203-10,879-15,103-31,579-59,039-119,669-166,133-347,369-649,429-1,357,897-3,821,059-7,143,719-14,936,867-164,305,537

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