Q: What are the factor combinations of the number 160,110,433?

 A:
Positive:   1 x 1601104337 x 2287291937 x 4327309259 x 618187503 x 3183111229 x 1302773521 x 454738603 x 18611
Negative: -1 x -160110433-7 x -22872919-37 x -4327309-259 x -618187-503 x -318311-1229 x -130277-3521 x -45473-8603 x -18611


How do I find the factor combinations of the number 160,110,433?

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 160,110,433, 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.

1 160,110,433
-1 -160,110,433

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 160,110,433.

Example:
1 x 160,110,433 = 160,110,433
and
-1 x -160,110,433 = 160,110,433
Notice both answers equal 160,110,433

With that explanation out of the way, let's continue. Next, we take the number 160,110,433 and divide it by 2:

160,110,433 ÷ 2 = 80,055,216.5

If the quotient is a whole number, then 2 and 80,055,216.5 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:

1 160,110,433
-1 -160,110,433

Now, we try dividing 160,110,433 by 3:

160,110,433 ÷ 3 = 53,370,144.3333

If the quotient is a whole number, then 3 and 53,370,144.3333 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:

1 160,110,433
-1 -160,110,433

Let's try dividing by 4:

160,110,433 ÷ 4 = 40,027,608.25

If the quotient is a whole number, then 4 and 40,027,608.25 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:

1 160,110,433
-1 160,110,433
Keep dividing by the next highest number until you cannot divide anymore.

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

17372595031,2293,5218,60318,61145,473130,277318,311618,1874,327,30922,872,919160,110,433
-1-7-37-259-503-1,229-3,521-8,603-18,611-45,473-130,277-318,311-618,187-4,327,309-22,872,919-160,110,433

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