Q: What are the factor combinations of the number 4,980,625?

 A:
Positive:   1 x 49806255 x 99612513 x 38312525 x 19922565 x 76625125 x 39845325 x 15325613 x 8125625 x 79691625 x 3065
Negative: -1 x -4980625-5 x -996125-13 x -383125-25 x -199225-65 x -76625-125 x -39845-325 x -15325-613 x -8125-625 x -7969-1625 x -3065


How do I find the factor combinations of the number 4,980,625?

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 4,980,625, 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 4,980,625
-1 -4,980,625

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 4,980,625.

Example:
1 x 4,980,625 = 4,980,625
and
-1 x -4,980,625 = 4,980,625
Notice both answers equal 4,980,625

With that explanation out of the way, let's continue. Next, we take the number 4,980,625 and divide it by 2:

4,980,625 ÷ 2 = 2,490,312.5

If the quotient is a whole number, then 2 and 2,490,312.5 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 4,980,625
-1 -4,980,625

Now, we try dividing 4,980,625 by 3:

4,980,625 ÷ 3 = 1,660,208.3333

If the quotient is a whole number, then 3 and 1,660,208.3333 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 4,980,625
-1 -4,980,625

Let's try dividing by 4:

4,980,625 ÷ 4 = 1,245,156.25

If the quotient is a whole number, then 4 and 1,245,156.25 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 4,980,625
-1 4,980,625
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651253256136251,6253,0657,9698,12515,32539,84576,625199,225383,125996,1254,980,625
-1-5-13-25-65-125-325-613-625-1,625-3,065-7,969-8,125-15,325-39,845-76,625-199,225-383,125-996,125-4,980,625

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