Q: What are the factor combinations of the number 67,127,555?

 A:
Positive:   1 x 671275555 x 1342551111 x 610250531 x 216540555 x 1220501155 x 433081341 x 1968551705 x 39371
Negative: -1 x -67127555-5 x -13425511-11 x -6102505-31 x -2165405-55 x -1220501-155 x -433081-341 x -196855-1705 x -39371


How do I find the factor combinations of the number 67,127,555?

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 67,127,555, 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 67,127,555
-1 -67,127,555

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 67,127,555.

Example:
1 x 67,127,555 = 67,127,555
and
-1 x -67,127,555 = 67,127,555
Notice both answers equal 67,127,555

With that explanation out of the way, let's continue. Next, we take the number 67,127,555 and divide it by 2:

67,127,555 ÷ 2 = 33,563,777.5

If the quotient is a whole number, then 2 and 33,563,777.5 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 67,127,555
-1 -67,127,555

Now, we try dividing 67,127,555 by 3:

67,127,555 ÷ 3 = 22,375,851.6667

If the quotient is a whole number, then 3 and 22,375,851.6667 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 67,127,555
-1 -67,127,555

Let's try dividing by 4:

67,127,555 ÷ 4 = 16,781,888.75

If the quotient is a whole number, then 4 and 16,781,888.75 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 67,127,555
-1 67,127,555
Keep dividing by the next highest number until you cannot divide anymore.

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

151131551553411,70539,371196,855433,0811,220,5012,165,4056,102,50513,425,51167,127,555
-1-5-11-31-55-155-341-1,705-39,371-196,855-433,081-1,220,501-2,165,405-6,102,505-13,425,511-67,127,555

More Examples

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