Q: What are the factor combinations of the number 87,015,379?

 A:
Positive:   1 x 8701537911 x 791048937 x 235176767 x 1298737407 x 213797737 x 1180672479 x 351013191 x 27269
Negative: -1 x -87015379-11 x -7910489-37 x -2351767-67 x -1298737-407 x -213797-737 x -118067-2479 x -35101-3191 x -27269


How do I find the factor combinations of the number 87,015,379?

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 87,015,379, 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 87,015,379
-1 -87,015,379

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 87,015,379.

Example:
1 x 87,015,379 = 87,015,379
and
-1 x -87,015,379 = 87,015,379
Notice both answers equal 87,015,379

With that explanation out of the way, let's continue. Next, we take the number 87,015,379 and divide it by 2:

87,015,379 ÷ 2 = 43,507,689.5

If the quotient is a whole number, then 2 and 43,507,689.5 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 87,015,379
-1 -87,015,379

Now, we try dividing 87,015,379 by 3:

87,015,379 ÷ 3 = 29,005,126.3333

If the quotient is a whole number, then 3 and 29,005,126.3333 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 87,015,379
-1 -87,015,379

Let's try dividing by 4:

87,015,379 ÷ 4 = 21,753,844.75

If the quotient is a whole number, then 4 and 21,753,844.75 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 87,015,379
-1 87,015,379
Keep dividing by the next highest number until you cannot divide anymore.

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

11137674077372,4793,19127,26935,101118,067213,7971,298,7372,351,7677,910,48987,015,379
-1-11-37-67-407-737-2,479-3,191-27,269-35,101-118,067-213,797-1,298,737-2,351,767-7,910,489-87,015,379

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 87,015,379:


Ask a Question