Q: What are the factor combinations of the number 166,748,155?

 A:
Positive:   1 x 1667481555 x 333496317 x 2382116517 x 980871535 x 476423385 x 1961743119 x 1401245595 x 280249
Negative: -1 x -166748155-5 x -33349631-7 x -23821165-17 x -9808715-35 x -4764233-85 x -1961743-119 x -1401245-595 x -280249


How do I find the factor combinations of the number 166,748,155?

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 166,748,155, 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.

1 166,748,155
-1 -166,748,155

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 166,748,155.

Example:
1 x 166,748,155 = 166,748,155
and
-1 x -166,748,155 = 166,748,155
Notice both answers equal 166,748,155

With that explanation out of the way, let's continue. Next, we take the number 166,748,155 and divide it by 2:

166,748,155 ÷ 2 = 83,374,077.5

If the quotient is a whole number, then 2 and 83,374,077.5 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:

1 166,748,155
-1 -166,748,155

Now, we try dividing 166,748,155 by 3:

166,748,155 ÷ 3 = 55,582,718.3333

If the quotient is a whole number, then 3 and 55,582,718.3333 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:

1 166,748,155
-1 -166,748,155

Let's try dividing by 4:

166,748,155 ÷ 4 = 41,687,038.75

If the quotient is a whole number, then 4 and 41,687,038.75 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:

1 166,748,155
-1 166,748,155
Keep dividing by the next highest number until you cannot divide anymore.

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

157173585119595280,2491,401,2451,961,7434,764,2339,808,71523,821,16533,349,631166,748,155
-1-5-7-17-35-85-119-595-280,249-1,401,245-1,961,743-4,764,233-9,808,715-23,821,165-33,349,631-166,748,155

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