Q: What are the factor combinations of the number 1,150,135?

 A:
Positive:   1 x 11501355 x 2300277 x 16430517 x 6765535 x 3286185 x 13531119 x 9665595 x 1933
Negative: -1 x -1150135-5 x -230027-7 x -164305-17 x -67655-35 x -32861-85 x -13531-119 x -9665-595 x -1933


How do I find the factor combinations of the number 1,150,135?

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 1,150,135, 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 1,150,135
-1 -1,150,135

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 1,150,135.

Example:
1 x 1,150,135 = 1,150,135
and
-1 x -1,150,135 = 1,150,135
Notice both answers equal 1,150,135

With that explanation out of the way, let's continue. Next, we take the number 1,150,135 and divide it by 2:

1,150,135 ÷ 2 = 575,067.5

If the quotient is a whole number, then 2 and 575,067.5 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 1,150,135
-1 -1,150,135

Now, we try dividing 1,150,135 by 3:

1,150,135 ÷ 3 = 383,378.3333

If the quotient is a whole number, then 3 and 383,378.3333 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 1,150,135
-1 -1,150,135

Let's try dividing by 4:

1,150,135 ÷ 4 = 287,533.75

If the quotient is a whole number, then 4 and 287,533.75 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 1,150,135
-1 1,150,135
Keep dividing by the next highest number until you cannot divide anymore.

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

1571735851195951,9339,66513,53132,86167,655164,305230,0271,150,135
-1-5-7-17-35-85-119-595-1,933-9,665-13,531-32,861-67,655-164,305-230,027-1,150,135

More Examples

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