Q: What are the factor combinations of the number 1,172,875?

 A:
Positive:   1 x 11728755 x 23457511 x 10662525 x 4691555 x 21325125 x 9383275 x 4265853 x 1375
Negative: -1 x -1172875-5 x -234575-11 x -106625-25 x -46915-55 x -21325-125 x -9383-275 x -4265-853 x -1375


How do I find the factor combinations of the number 1,172,875?

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 1,172,875, 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 1,172,875
-1 -1,172,875

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 1,172,875.

Example:
1 x 1,172,875 = 1,172,875
and
-1 x -1,172,875 = 1,172,875
Notice both answers equal 1,172,875

With that explanation out of the way, let's continue. Next, we take the number 1,172,875 and divide it by 2:

1,172,875 ÷ 2 = 586,437.5

If the quotient is a whole number, then 2 and 586,437.5 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 1,172,875
-1 -1,172,875

Now, we try dividing 1,172,875 by 3:

1,172,875 ÷ 3 = 390,958.3333

If the quotient is a whole number, then 3 and 390,958.3333 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 1,172,875
-1 -1,172,875

Let's try dividing by 4:

1,172,875 ÷ 4 = 293,218.75

If the quotient is a whole number, then 4 and 293,218.75 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 1,172,875
-1 1,172,875
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551252758531,3754,2659,38321,32546,915106,625234,5751,172,875
-1-5-11-25-55-125-275-853-1,375-4,265-9,383-21,325-46,915-106,625-234,575-1,172,875

More Examples

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