Q: What are the factor combinations of the number 82,145,371?

 A:
Positive:   1 x 821453717 x 1173505311 x 746776129 x 283259977 x 1066823203 x 404657319 x 2575092233 x 36787
Negative: -1 x -82145371-7 x -11735053-11 x -7467761-29 x -2832599-77 x -1066823-203 x -404657-319 x -257509-2233 x -36787


How do I find the factor combinations of the number 82,145,371?

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 82,145,371, 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 82,145,371
-1 -82,145,371

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 82,145,371.

Example:
1 x 82,145,371 = 82,145,371
and
-1 x -82,145,371 = 82,145,371
Notice both answers equal 82,145,371

With that explanation out of the way, let's continue. Next, we take the number 82,145,371 and divide it by 2:

82,145,371 ÷ 2 = 41,072,685.5

If the quotient is a whole number, then 2 and 41,072,685.5 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 82,145,371
-1 -82,145,371

Now, we try dividing 82,145,371 by 3:

82,145,371 ÷ 3 = 27,381,790.3333

If the quotient is a whole number, then 3 and 27,381,790.3333 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 82,145,371
-1 -82,145,371

Let's try dividing by 4:

82,145,371 ÷ 4 = 20,536,342.75

If the quotient is a whole number, then 4 and 20,536,342.75 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 82,145,371
-1 82,145,371
Keep dividing by the next highest number until you cannot divide anymore.

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

171129772033192,23336,787257,509404,6571,066,8232,832,5997,467,76111,735,05382,145,371
-1-7-11-29-77-203-319-2,233-36,787-257,509-404,657-1,066,823-2,832,599-7,467,761-11,735,053-82,145,371

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