Q: What are the factor combinations of the number 1,124,125?

 A:
Positive:   1 x 11241255 x 22482517 x 6612523 x 4887525 x 4496585 x 13225115 x 9775125 x 8993391 x 2875425 x 2645529 x 2125575 x 1955
Negative: -1 x -1124125-5 x -224825-17 x -66125-23 x -48875-25 x -44965-85 x -13225-115 x -9775-125 x -8993-391 x -2875-425 x -2645-529 x -2125-575 x -1955


How do I find the factor combinations of the number 1,124,125?

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 1,124,125, 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 1,124,125
-1 -1,124,125

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 1,124,125.

Example:
1 x 1,124,125 = 1,124,125
and
-1 x -1,124,125 = 1,124,125
Notice both answers equal 1,124,125

With that explanation out of the way, let's continue. Next, we take the number 1,124,125 and divide it by 2:

1,124,125 ÷ 2 = 562,062.5

If the quotient is a whole number, then 2 and 562,062.5 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 1,124,125
-1 -1,124,125

Now, we try dividing 1,124,125 by 3:

1,124,125 ÷ 3 = 374,708.3333

If the quotient is a whole number, then 3 and 374,708.3333 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 1,124,125
-1 -1,124,125

Let's try dividing by 4:

1,124,125 ÷ 4 = 281,031.25

If the quotient is a whole number, then 4 and 281,031.25 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 1,124,125
-1 1,124,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15172325851151253914255295751,9552,1252,6452,8758,9939,77513,22544,96548,87566,125224,8251,124,125
-1-5-17-23-25-85-115-125-391-425-529-575-1,955-2,125-2,645-2,875-8,993-9,775-13,225-44,965-48,875-66,125-224,825-1,124,125

More Examples

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