Q: What are the factor combinations of the number 165,500,256?

 A:
Positive:   1 x 1655002562 x 827501283 x 551667524 x 413750646 x 275833768 x 2068753212 x 1379168816 x 1034376624 x 689584432 x 517188348 x 344792296 x 1723961
Negative: -1 x -165500256-2 x -82750128-3 x -55166752-4 x -41375064-6 x -27583376-8 x -20687532-12 x -13791688-16 x -10343766-24 x -6895844-32 x -5171883-48 x -3447922-96 x -1723961


How do I find the factor combinations of the number 165,500,256?

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 165,500,256, 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.

1 165,500,256
-1 -165,500,256

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 165,500,256.

Example:
1 x 165,500,256 = 165,500,256
and
-1 x -165,500,256 = 165,500,256
Notice both answers equal 165,500,256

With that explanation out of the way, let's continue. Next, we take the number 165,500,256 and divide it by 2:

165,500,256 ÷ 2 = 82,750,128

If the quotient is a whole number, then 2 and 82,750,128 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 82,750,128 165,500,256
-1 -2 -82,750,128 -165,500,256

Now, we try dividing 165,500,256 by 3:

165,500,256 ÷ 3 = 55,166,752

If the quotient is a whole number, then 3 and 55,166,752 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 55,166,752 82,750,128 165,500,256
-1 -2 -3 -55,166,752 -82,750,128 -165,500,256

Let's try dividing by 4:

165,500,256 ÷ 4 = 41,375,064

If the quotient is a whole number, then 4 and 41,375,064 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 41,375,064 55,166,752 82,750,128 165,500,256
-1 -2 -3 -4 -41,375,064 -55,166,752 -82,750,128 165,500,256
Keep dividing by the next highest number until you cannot divide anymore.

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

1234681216243248961,723,9613,447,9225,171,8836,895,84410,343,76613,791,68820,687,53227,583,37641,375,06455,166,75282,750,128165,500,256
-1-2-3-4-6-8-12-16-24-32-48-96-1,723,961-3,447,922-5,171,883-6,895,844-10,343,766-13,791,688-20,687,532-27,583,376-41,375,064-55,166,752-82,750,128-165,500,256

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