Q: What are the factor combinations of the number 1,143,125?

 A:
Positive:   1 x 11431255 x 22862525 x 4572531 x 3687559 x 19375125 x 9145155 x 7375295 x 3875625 x 1829775 x 1475
Negative: -1 x -1143125-5 x -228625-25 x -45725-31 x -36875-59 x -19375-125 x -9145-155 x -7375-295 x -3875-625 x -1829-775 x -1475


How do I find the factor combinations of the number 1,143,125?

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 1,143,125, 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 1,143,125
-1 -1,143,125

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 1,143,125.

Example:
1 x 1,143,125 = 1,143,125
and
-1 x -1,143,125 = 1,143,125
Notice both answers equal 1,143,125

With that explanation out of the way, let's continue. Next, we take the number 1,143,125 and divide it by 2:

1,143,125 ÷ 2 = 571,562.5

If the quotient is a whole number, then 2 and 571,562.5 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 1,143,125
-1 -1,143,125

Now, we try dividing 1,143,125 by 3:

1,143,125 ÷ 3 = 381,041.6667

If the quotient is a whole number, then 3 and 381,041.6667 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 1,143,125
-1 -1,143,125

Let's try dividing by 4:

1,143,125 ÷ 4 = 285,781.25

If the quotient is a whole number, then 4 and 285,781.25 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 1,143,125
-1 1,143,125
Keep dividing by the next highest number until you cannot divide anymore.

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

152531591251552956257751,4751,8293,8757,3759,14519,37536,87545,725228,6251,143,125
-1-5-25-31-59-125-155-295-625-775-1,475-1,829-3,875-7,375-9,145-19,375-36,875-45,725-228,625-1,143,125

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