Q: What are the factor combinations of the number 1,119,875?

 A:
Positive:   1 x 11198755 x 22397517 x 6587525 x 4479531 x 3612585 x 13175125 x 8959155 x 7225289 x 3875425 x 2635527 x 2125775 x 1445
Negative: -1 x -1119875-5 x -223975-17 x -65875-25 x -44795-31 x -36125-85 x -13175-125 x -8959-155 x -7225-289 x -3875-425 x -2635-527 x -2125-775 x -1445


How do I find the factor combinations of the number 1,119,875?

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 1,119,875, 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 1,119,875
-1 -1,119,875

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 1,119,875.

Example:
1 x 1,119,875 = 1,119,875
and
-1 x -1,119,875 = 1,119,875
Notice both answers equal 1,119,875

With that explanation out of the way, let's continue. Next, we take the number 1,119,875 and divide it by 2:

1,119,875 ÷ 2 = 559,937.5

If the quotient is a whole number, then 2 and 559,937.5 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 1,119,875
-1 -1,119,875

Now, we try dividing 1,119,875 by 3:

1,119,875 ÷ 3 = 373,291.6667

If the quotient is a whole number, then 3 and 373,291.6667 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 1,119,875
-1 -1,119,875

Let's try dividing by 4:

1,119,875 ÷ 4 = 279,968.75

If the quotient is a whole number, then 4 and 279,968.75 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 1,119,875
-1 1,119,875
Keep dividing by the next highest number until you cannot divide anymore.

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

15172531851251552894255277751,4452,1252,6353,8757,2258,95913,17536,12544,79565,875223,9751,119,875
-1-5-17-25-31-85-125-155-289-425-527-775-1,445-2,125-2,635-3,875-7,225-8,959-13,175-36,125-44,795-65,875-223,975-1,119,875

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