Q: What are the factor combinations of the number 2,849,825?

 A:
Positive:   1 x 28498255 x 56996511 x 25907525 x 11399343 x 6627555 x 51815215 x 13255241 x 11825275 x 10363473 x 60251075 x 26511205 x 2365
Negative: -1 x -2849825-5 x -569965-11 x -259075-25 x -113993-43 x -66275-55 x -51815-215 x -13255-241 x -11825-275 x -10363-473 x -6025-1075 x -2651-1205 x -2365


How do I find the factor combinations of the number 2,849,825?

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 2,849,825, 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 2,849,825
-1 -2,849,825

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 2,849,825.

Example:
1 x 2,849,825 = 2,849,825
and
-1 x -2,849,825 = 2,849,825
Notice both answers equal 2,849,825

With that explanation out of the way, let's continue. Next, we take the number 2,849,825 and divide it by 2:

2,849,825 ÷ 2 = 1,424,912.5

If the quotient is a whole number, then 2 and 1,424,912.5 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 2,849,825
-1 -2,849,825

Now, we try dividing 2,849,825 by 3:

2,849,825 ÷ 3 = 949,941.6667

If the quotient is a whole number, then 3 and 949,941.6667 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 2,849,825
-1 -2,849,825

Let's try dividing by 4:

2,849,825 ÷ 4 = 712,456.25

If the quotient is a whole number, then 4 and 712,456.25 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 2,849,825
-1 2,849,825
Keep dividing by the next highest number until you cannot divide anymore.

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

15112543552152412754731,0751,2052,3652,6516,02510,36311,82513,25551,81566,275113,993259,075569,9652,849,825
-1-5-11-25-43-55-215-241-275-473-1,075-1,205-2,365-2,651-6,025-10,363-11,825-13,255-51,815-66,275-113,993-259,075-569,965-2,849,825

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