Q: What are the factor combinations of the number 164,075,143?

 A:
Positive:   1 x 16407514317 x 965147943 x 3815701389 x 421787577 x 284359731 x 2244536613 x 248119809 x 16727
Negative: -1 x -164075143-17 x -9651479-43 x -3815701-389 x -421787-577 x -284359-731 x -224453-6613 x -24811-9809 x -16727


How do I find the factor combinations of the number 164,075,143?

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 164,075,143, 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.

1 164,075,143
-1 -164,075,143

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 164,075,143.

Example:
1 x 164,075,143 = 164,075,143
and
-1 x -164,075,143 = 164,075,143
Notice both answers equal 164,075,143

With that explanation out of the way, let's continue. Next, we take the number 164,075,143 and divide it by 2:

164,075,143 ÷ 2 = 82,037,571.5

If the quotient is a whole number, then 2 and 82,037,571.5 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:

1 164,075,143
-1 -164,075,143

Now, we try dividing 164,075,143 by 3:

164,075,143 ÷ 3 = 54,691,714.3333

If the quotient is a whole number, then 3 and 54,691,714.3333 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:

1 164,075,143
-1 -164,075,143

Let's try dividing by 4:

164,075,143 ÷ 4 = 41,018,785.75

If the quotient is a whole number, then 4 and 41,018,785.75 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:

1 164,075,143
-1 164,075,143
Keep dividing by the next highest number until you cannot divide anymore.

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

117433895777316,6139,80916,72724,811224,453284,359421,7873,815,7019,651,479164,075,143
-1-17-43-389-577-731-6,613-9,809-16,727-24,811-224,453-284,359-421,787-3,815,701-9,651,479-164,075,143

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