Q: What are the factor combinations of the number 1,448,875?

 A:
Positive:   1 x 14488755 x 28977525 x 5795567 x 21625125 x 11591173 x 8375335 x 4325865 x 1675
Negative: -1 x -1448875-5 x -289775-25 x -57955-67 x -21625-125 x -11591-173 x -8375-335 x -4325-865 x -1675


How do I find the factor combinations of the number 1,448,875?

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 1,448,875, 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 1,448,875
-1 -1,448,875

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 1,448,875.

Example:
1 x 1,448,875 = 1,448,875
and
-1 x -1,448,875 = 1,448,875
Notice both answers equal 1,448,875

With that explanation out of the way, let's continue. Next, we take the number 1,448,875 and divide it by 2:

1,448,875 ÷ 2 = 724,437.5

If the quotient is a whole number, then 2 and 724,437.5 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 1,448,875
-1 -1,448,875

Now, we try dividing 1,448,875 by 3:

1,448,875 ÷ 3 = 482,958.3333

If the quotient is a whole number, then 3 and 482,958.3333 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 1,448,875
-1 -1,448,875

Let's try dividing by 4:

1,448,875 ÷ 4 = 362,218.75

If the quotient is a whole number, then 4 and 362,218.75 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 1,448,875
-1 1,448,875
Keep dividing by the next highest number until you cannot divide anymore.

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

1525671251733358651,6754,3258,37511,59121,62557,955289,7751,448,875
-1-5-25-67-125-173-335-865-1,675-4,325-8,375-11,591-21,625-57,955-289,775-1,448,875

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