Q: What are the factor combinations of the number 67,237,027?

 A:
Positive:   1 x 6723702711 x 611245713 x 517207923 x 2923349143 x 470189253 x 265759299 x 2248733289 x 20443
Negative: -1 x -67237027-11 x -6112457-13 x -5172079-23 x -2923349-143 x -470189-253 x -265759-299 x -224873-3289 x -20443


How do I find the factor combinations of the number 67,237,027?

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 67,237,027, 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 67,237,027
-1 -67,237,027

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 67,237,027.

Example:
1 x 67,237,027 = 67,237,027
and
-1 x -67,237,027 = 67,237,027
Notice both answers equal 67,237,027

With that explanation out of the way, let's continue. Next, we take the number 67,237,027 and divide it by 2:

67,237,027 ÷ 2 = 33,618,513.5

If the quotient is a whole number, then 2 and 33,618,513.5 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 67,237,027
-1 -67,237,027

Now, we try dividing 67,237,027 by 3:

67,237,027 ÷ 3 = 22,412,342.3333

If the quotient is a whole number, then 3 and 22,412,342.3333 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 67,237,027
-1 -67,237,027

Let's try dividing by 4:

67,237,027 ÷ 4 = 16,809,256.75

If the quotient is a whole number, then 4 and 16,809,256.75 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 67,237,027
-1 67,237,027
Keep dividing by the next highest number until you cannot divide anymore.

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

11113231432532993,28920,443224,873265,759470,1892,923,3495,172,0796,112,45767,237,027
-1-11-13-23-143-253-299-3,289-20,443-224,873-265,759-470,189-2,923,349-5,172,079-6,112,457-67,237,027

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