Q: What are the factor combinations of the number 211,742,555?

 A:
Positive:   1 x 2117425555 x 4234851119 x 1114434531 x 683040595 x 2228869155 x 1366081589 x 3594952945 x 71899
Negative: -1 x -211742555-5 x -42348511-19 x -11144345-31 x -6830405-95 x -2228869-155 x -1366081-589 x -359495-2945 x -71899


How do I find the factor combinations of the number 211,742,555?

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 211,742,555, 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.

1 211,742,555
-1 -211,742,555

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 211,742,555.

Example:
1 x 211,742,555 = 211,742,555
and
-1 x -211,742,555 = 211,742,555
Notice both answers equal 211,742,555

With that explanation out of the way, let's continue. Next, we take the number 211,742,555 and divide it by 2:

211,742,555 ÷ 2 = 105,871,277.5

If the quotient is a whole number, then 2 and 105,871,277.5 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:

1 211,742,555
-1 -211,742,555

Now, we try dividing 211,742,555 by 3:

211,742,555 ÷ 3 = 70,580,851.6667

If the quotient is a whole number, then 3 and 70,580,851.6667 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:

1 211,742,555
-1 -211,742,555

Let's try dividing by 4:

211,742,555 ÷ 4 = 52,935,638.75

If the quotient is a whole number, then 4 and 52,935,638.75 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:

1 211,742,555
-1 211,742,555
Keep dividing by the next highest number until you cannot divide anymore.

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

151931951555892,94571,899359,4951,366,0812,228,8696,830,40511,144,34542,348,511211,742,555
-1-5-19-31-95-155-589-2,945-71,899-359,495-1,366,081-2,228,869-6,830,405-11,144,345-42,348,511-211,742,555

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