Q: What are the factor combinations of the number 1,187,329?

 A:
Positive:   1 x 118732911 x 10793913 x 9133319 x 6249123 x 51623143 x 8303209 x 5681247 x 4807253 x 4693299 x 3971361 x 3289437 x 2717
Negative: -1 x -1187329-11 x -107939-13 x -91333-19 x -62491-23 x -51623-143 x -8303-209 x -5681-247 x -4807-253 x -4693-299 x -3971-361 x -3289-437 x -2717


How do I find the factor combinations of the number 1,187,329?

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 1,187,329, 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 1,187,329
-1 -1,187,329

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 1,187,329.

Example:
1 x 1,187,329 = 1,187,329
and
-1 x -1,187,329 = 1,187,329
Notice both answers equal 1,187,329

With that explanation out of the way, let's continue. Next, we take the number 1,187,329 and divide it by 2:

1,187,329 ÷ 2 = 593,664.5

If the quotient is a whole number, then 2 and 593,664.5 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 1,187,329
-1 -1,187,329

Now, we try dividing 1,187,329 by 3:

1,187,329 ÷ 3 = 395,776.3333

If the quotient is a whole number, then 3 and 395,776.3333 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 1,187,329
-1 -1,187,329

Let's try dividing by 4:

1,187,329 ÷ 4 = 296,832.25

If the quotient is a whole number, then 4 and 296,832.25 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 1,187,329
-1 1,187,329
Keep dividing by the next highest number until you cannot divide anymore.

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

1111319231432092472532993614372,7173,2893,9714,6934,8075,6818,30351,62362,49191,333107,9391,187,329
-1-11-13-19-23-143-209-247-253-299-361-437-2,717-3,289-3,971-4,693-4,807-5,681-8,303-51,623-62,491-91,333-107,939-1,187,329

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