Q: What are the factor combinations of the number 67,407,329?

 A:
Positive:   1 x 6740732911 x 612793917 x 396513771 x 949399187 x 360467781 x 863091207 x 558475077 x 13277
Negative: -1 x -67407329-11 x -6127939-17 x -3965137-71 x -949399-187 x -360467-781 x -86309-1207 x -55847-5077 x -13277


How do I find the factor combinations of the number 67,407,329?

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 67,407,329, 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 67,407,329
-1 -67,407,329

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 67,407,329.

Example:
1 x 67,407,329 = 67,407,329
and
-1 x -67,407,329 = 67,407,329
Notice both answers equal 67,407,329

With that explanation out of the way, let's continue. Next, we take the number 67,407,329 and divide it by 2:

67,407,329 ÷ 2 = 33,703,664.5

If the quotient is a whole number, then 2 and 33,703,664.5 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 67,407,329
-1 -67,407,329

Now, we try dividing 67,407,329 by 3:

67,407,329 ÷ 3 = 22,469,109.6667

If the quotient is a whole number, then 3 and 22,469,109.6667 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 67,407,329
-1 -67,407,329

Let's try dividing by 4:

67,407,329 ÷ 4 = 16,851,832.25

If the quotient is a whole number, then 4 and 16,851,832.25 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 67,407,329
-1 67,407,329
Keep dividing by the next highest number until you cannot divide anymore.

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

11117711877811,2075,07713,27755,84786,309360,467949,3993,965,1376,127,93967,407,329
-1-11-17-71-187-781-1,207-5,077-13,277-55,847-86,309-360,467-949,399-3,965,137-6,127,939-67,407,329

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