Q: What are the factor combinations of the number 1,162,735?

 A:
Positive:   1 x 11627355 x 2325477 x 16610535 x 33221139 x 8365239 x 4865695 x 1673973 x 1195
Negative: -1 x -1162735-5 x -232547-7 x -166105-35 x -33221-139 x -8365-239 x -4865-695 x -1673-973 x -1195


How do I find the factor combinations of the number 1,162,735?

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 1,162,735, 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 1,162,735
-1 -1,162,735

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 1,162,735.

Example:
1 x 1,162,735 = 1,162,735
and
-1 x -1,162,735 = 1,162,735
Notice both answers equal 1,162,735

With that explanation out of the way, let's continue. Next, we take the number 1,162,735 and divide it by 2:

1,162,735 ÷ 2 = 581,367.5

If the quotient is a whole number, then 2 and 581,367.5 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 1,162,735
-1 -1,162,735

Now, we try dividing 1,162,735 by 3:

1,162,735 ÷ 3 = 387,578.3333

If the quotient is a whole number, then 3 and 387,578.3333 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 1,162,735
-1 -1,162,735

Let's try dividing by 4:

1,162,735 ÷ 4 = 290,683.75

If the quotient is a whole number, then 4 and 290,683.75 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 1,162,735
-1 1,162,735
Keep dividing by the next highest number until you cannot divide anymore.

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

157351392396959731,1951,6734,8658,36533,221166,105232,5471,162,735
-1-5-7-35-139-239-695-973-1,195-1,673-4,865-8,365-33,221-166,105-232,547-1,162,735

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