Q: What are the factor combinations of the number 2,433,425?

 A:
Positive:   1 x 24334255 x 48668519 x 12807525 x 9733747 x 5177595 x 25615109 x 22325235 x 10355475 x 5123545 x 4465893 x 27251175 x 2071
Negative: -1 x -2433425-5 x -486685-19 x -128075-25 x -97337-47 x -51775-95 x -25615-109 x -22325-235 x -10355-475 x -5123-545 x -4465-893 x -2725-1175 x -2071


How do I find the factor combinations of the number 2,433,425?

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 2,433,425, 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 2,433,425
-1 -2,433,425

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 2,433,425.

Example:
1 x 2,433,425 = 2,433,425
and
-1 x -2,433,425 = 2,433,425
Notice both answers equal 2,433,425

With that explanation out of the way, let's continue. Next, we take the number 2,433,425 and divide it by 2:

2,433,425 ÷ 2 = 1,216,712.5

If the quotient is a whole number, then 2 and 1,216,712.5 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 2,433,425
-1 -2,433,425

Now, we try dividing 2,433,425 by 3:

2,433,425 ÷ 3 = 811,141.6667

If the quotient is a whole number, then 3 and 811,141.6667 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 2,433,425
-1 -2,433,425

Let's try dividing by 4:

2,433,425 ÷ 4 = 608,356.25

If the quotient is a whole number, then 4 and 608,356.25 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 2,433,425
-1 2,433,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15192547951092354755458931,1752,0712,7254,4655,12310,35522,32525,61551,77597,337128,075486,6852,433,425
-1-5-19-25-47-95-109-235-475-545-893-1,175-2,071-2,725-4,465-5,123-10,355-22,325-25,615-51,775-97,337-128,075-486,685-2,433,425

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