Q: What are the factor combinations of the number 166,874,015?

 A:
Positive:   1 x 1668740155 x 333748037 x 2383914511 x 1517036535 x 476782955 x 303407377 x 2167195385 x 433439
Negative: -1 x -166874015-5 x -33374803-7 x -23839145-11 x -15170365-35 x -4767829-55 x -3034073-77 x -2167195-385 x -433439


How do I find the factor combinations of the number 166,874,015?

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 166,874,015, 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.

1 166,874,015
-1 -166,874,015

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 166,874,015.

Example:
1 x 166,874,015 = 166,874,015
and
-1 x -166,874,015 = 166,874,015
Notice both answers equal 166,874,015

With that explanation out of the way, let's continue. Next, we take the number 166,874,015 and divide it by 2:

166,874,015 ÷ 2 = 83,437,007.5

If the quotient is a whole number, then 2 and 83,437,007.5 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:

1 166,874,015
-1 -166,874,015

Now, we try dividing 166,874,015 by 3:

166,874,015 ÷ 3 = 55,624,671.6667

If the quotient is a whole number, then 3 and 55,624,671.6667 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:

1 166,874,015
-1 -166,874,015

Let's try dividing by 4:

166,874,015 ÷ 4 = 41,718,503.75

If the quotient is a whole number, then 4 and 41,718,503.75 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:

1 166,874,015
-1 166,874,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15711355577385433,4392,167,1953,034,0734,767,82915,170,36523,839,14533,374,803166,874,015
-1-5-7-11-35-55-77-385-433,439-2,167,195-3,034,073-4,767,829-15,170,365-23,839,145-33,374,803-166,874,015

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