Q: What are the factor combinations of the number 2,024,225?

 A:
Positive:   1 x 20242255 x 4048457 x 28917525 x 8096935 x 5783543 x 47075175 x 11567215 x 9415269 x 7525301 x 67251075 x 18831345 x 1505
Negative: -1 x -2024225-5 x -404845-7 x -289175-25 x -80969-35 x -57835-43 x -47075-175 x -11567-215 x -9415-269 x -7525-301 x -6725-1075 x -1883-1345 x -1505


How do I find the factor combinations of the number 2,024,225?

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 2,024,225, 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 2,024,225
-1 -2,024,225

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 2,024,225.

Example:
1 x 2,024,225 = 2,024,225
and
-1 x -2,024,225 = 2,024,225
Notice both answers equal 2,024,225

With that explanation out of the way, let's continue. Next, we take the number 2,024,225 and divide it by 2:

2,024,225 ÷ 2 = 1,012,112.5

If the quotient is a whole number, then 2 and 1,012,112.5 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 2,024,225
-1 -2,024,225

Now, we try dividing 2,024,225 by 3:

2,024,225 ÷ 3 = 674,741.6667

If the quotient is a whole number, then 3 and 674,741.6667 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 2,024,225
-1 -2,024,225

Let's try dividing by 4:

2,024,225 ÷ 4 = 506,056.25

If the quotient is a whole number, then 4 and 506,056.25 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 2,024,225
-1 2,024,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535431752152693011,0751,3451,5051,8836,7257,5259,41511,56747,07557,83580,969289,175404,8452,024,225
-1-5-7-25-35-43-175-215-269-301-1,075-1,345-1,505-1,883-6,725-7,525-9,415-11,567-47,075-57,835-80,969-289,175-404,845-2,024,225

More Examples

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