Q: What are the factor combinations of the number 5,444,875?

 A:
Positive:   1 x 54448755 x 108897525 x 21779543 x 126625125 x 43559215 x 253251013 x 53751075 x 5065
Negative: -1 x -5444875-5 x -1088975-25 x -217795-43 x -126625-125 x -43559-215 x -25325-1013 x -5375-1075 x -5065


How do I find the factor combinations of the number 5,444,875?

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 5,444,875, 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 5,444,875
-1 -5,444,875

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 5,444,875.

Example:
1 x 5,444,875 = 5,444,875
and
-1 x -5,444,875 = 5,444,875
Notice both answers equal 5,444,875

With that explanation out of the way, let's continue. Next, we take the number 5,444,875 and divide it by 2:

5,444,875 ÷ 2 = 2,722,437.5

If the quotient is a whole number, then 2 and 2,722,437.5 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 5,444,875
-1 -5,444,875

Now, we try dividing 5,444,875 by 3:

5,444,875 ÷ 3 = 1,814,958.3333

If the quotient is a whole number, then 3 and 1,814,958.3333 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 5,444,875
-1 -5,444,875

Let's try dividing by 4:

5,444,875 ÷ 4 = 1,361,218.75

If the quotient is a whole number, then 4 and 1,361,218.75 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 5,444,875
-1 5,444,875
Keep dividing by the next highest number until you cannot divide anymore.

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

1525431252151,0131,0755,0655,37525,32543,559126,625217,7951,088,9755,444,875
-1-5-25-43-125-215-1,013-1,075-5,065-5,375-25,325-43,559-126,625-217,795-1,088,975-5,444,875

More Examples

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