Q: What are the factor combinations of the number 210,534,155?

 A:
Positive:   1 x 2105341555 x 4210683113 x 1619493519 x 1108074565 x 323898795 x 2216149247 x 8523651235 x 170473
Negative: -1 x -210534155-5 x -42106831-13 x -16194935-19 x -11080745-65 x -3238987-95 x -2216149-247 x -852365-1235 x -170473


How do I find the factor combinations of the number 210,534,155?

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 210,534,155, 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.

1 210,534,155
-1 -210,534,155

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 210,534,155.

Example:
1 x 210,534,155 = 210,534,155
and
-1 x -210,534,155 = 210,534,155
Notice both answers equal 210,534,155

With that explanation out of the way, let's continue. Next, we take the number 210,534,155 and divide it by 2:

210,534,155 ÷ 2 = 105,267,077.5

If the quotient is a whole number, then 2 and 105,267,077.5 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:

1 210,534,155
-1 -210,534,155

Now, we try dividing 210,534,155 by 3:

210,534,155 ÷ 3 = 70,178,051.6667

If the quotient is a whole number, then 3 and 70,178,051.6667 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:

1 210,534,155
-1 -210,534,155

Let's try dividing by 4:

210,534,155 ÷ 4 = 52,633,538.75

If the quotient is a whole number, then 4 and 52,633,538.75 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:

1 210,534,155
-1 210,534,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15131965952471,235170,473852,3652,216,1493,238,98711,080,74516,194,93542,106,831210,534,155
-1-5-13-19-65-95-247-1,235-170,473-852,365-2,216,149-3,238,987-11,080,745-16,194,935-42,106,831-210,534,155

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