Q: What are the factor combinations of the number 4,497,325?

 A:
Positive:   1 x 44973255 x 8994657 x 64247525 x 17989331 x 14507535 x 128495155 x 29015175 x 25699217 x 20725775 x 5803829 x 54251085 x 4145
Negative: -1 x -4497325-5 x -899465-7 x -642475-25 x -179893-31 x -145075-35 x -128495-155 x -29015-175 x -25699-217 x -20725-775 x -5803-829 x -5425-1085 x -4145


How do I find the factor combinations of the number 4,497,325?

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 4,497,325, 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 4,497,325
-1 -4,497,325

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 4,497,325.

Example:
1 x 4,497,325 = 4,497,325
and
-1 x -4,497,325 = 4,497,325
Notice both answers equal 4,497,325

With that explanation out of the way, let's continue. Next, we take the number 4,497,325 and divide it by 2:

4,497,325 ÷ 2 = 2,248,662.5

If the quotient is a whole number, then 2 and 2,248,662.5 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 4,497,325
-1 -4,497,325

Now, we try dividing 4,497,325 by 3:

4,497,325 ÷ 3 = 1,499,108.3333

If the quotient is a whole number, then 3 and 1,499,108.3333 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 4,497,325
-1 -4,497,325

Let's try dividing by 4:

4,497,325 ÷ 4 = 1,124,331.25

If the quotient is a whole number, then 4 and 1,124,331.25 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 4,497,325
-1 4,497,325
Keep dividing by the next highest number until you cannot divide anymore.

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

1572531351551752177758291,0854,1455,4255,80320,72525,69929,015128,495145,075179,893642,475899,4654,497,325
-1-5-7-25-31-35-155-175-217-775-829-1,085-4,145-5,425-5,803-20,725-25,699-29,015-128,495-145,075-179,893-642,475-899,465-4,497,325

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