Q: What are the factor combinations of the number 67,025,365?

 A:
Positive:   1 x 670253655 x 1340507311 x 609321541 x 163476555 x 1218643205 x 326953451 x 1486152255 x 29723
Negative: -1 x -67025365-5 x -13405073-11 x -6093215-41 x -1634765-55 x -1218643-205 x -326953-451 x -148615-2255 x -29723


How do I find the factor combinations of the number 67,025,365?

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 67,025,365, 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 67,025,365
-1 -67,025,365

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 67,025,365.

Example:
1 x 67,025,365 = 67,025,365
and
-1 x -67,025,365 = 67,025,365
Notice both answers equal 67,025,365

With that explanation out of the way, let's continue. Next, we take the number 67,025,365 and divide it by 2:

67,025,365 ÷ 2 = 33,512,682.5

If the quotient is a whole number, then 2 and 33,512,682.5 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 67,025,365
-1 -67,025,365

Now, we try dividing 67,025,365 by 3:

67,025,365 ÷ 3 = 22,341,788.3333

If the quotient is a whole number, then 3 and 22,341,788.3333 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 67,025,365
-1 -67,025,365

Let's try dividing by 4:

67,025,365 ÷ 4 = 16,756,341.25

If the quotient is a whole number, then 4 and 16,756,341.25 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 67,025,365
-1 67,025,365
Keep dividing by the next highest number until you cannot divide anymore.

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

151141552054512,25529,723148,615326,9531,218,6431,634,7656,093,21513,405,07367,025,365
-1-5-11-41-55-205-451-2,255-29,723-148,615-326,953-1,218,643-1,634,765-6,093,215-13,405,073-67,025,365

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