Q: What are the factor combinations of the number 248,675?

 A:
Positive:   1 x 2486755 x 497357 x 3552525 x 994729 x 857535 x 710549 x 5075145 x 1715175 x 1421203 x 1225245 x 1015343 x 725
Negative: -1 x -248675-5 x -49735-7 x -35525-25 x -9947-29 x -8575-35 x -7105-49 x -5075-145 x -1715-175 x -1421-203 x -1225-245 x -1015-343 x -725


How do I find the factor combinations of the number 248,675?

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 248,675, 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.

1 248,675
-1 -248,675

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 248,675.

Example:
1 x 248,675 = 248,675
and
-1 x -248,675 = 248,675
Notice both answers equal 248,675

With that explanation out of the way, let's continue. Next, we take the number 248,675 and divide it by 2:

248,675 ÷ 2 = 124,337.5

If the quotient is a whole number, then 2 and 124,337.5 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:

1 248,675
-1 -248,675

Now, we try dividing 248,675 by 3:

248,675 ÷ 3 = 82,891.6667

If the quotient is a whole number, then 3 and 82,891.6667 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:

1 248,675
-1 -248,675

Let's try dividing by 4:

248,675 ÷ 4 = 62,168.75

If the quotient is a whole number, then 4 and 62,168.75 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:

1 248,675
-1 248,675
Keep dividing by the next highest number until you cannot divide anymore.

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

157252935491451752032453437251,0151,2251,4211,7155,0757,1058,5759,94735,52549,735248,675
-1-5-7-25-29-35-49-145-175-203-245-343-725-1,015-1,225-1,421-1,715-5,075-7,105-8,575-9,947-35,525-49,735-248,675

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