Q: What are the factor combinations of the number 2,400,167?

 A:
Positive:   1 x 24001677 x 34288111 x 21819749 x 4898361 x 3934773 x 3287977 x 31171427 x 5621511 x 4697539 x 4453671 x 3577803 x 2989
Negative: -1 x -2400167-7 x -342881-11 x -218197-49 x -48983-61 x -39347-73 x -32879-77 x -31171-427 x -5621-511 x -4697-539 x -4453-671 x -3577-803 x -2989


How do I find the factor combinations of the number 2,400,167?

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 2,400,167, 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 2,400,167
-1 -2,400,167

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 2,400,167.

Example:
1 x 2,400,167 = 2,400,167
and
-1 x -2,400,167 = 2,400,167
Notice both answers equal 2,400,167

With that explanation out of the way, let's continue. Next, we take the number 2,400,167 and divide it by 2:

2,400,167 ÷ 2 = 1,200,083.5

If the quotient is a whole number, then 2 and 1,200,083.5 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 2,400,167
-1 -2,400,167

Now, we try dividing 2,400,167 by 3:

2,400,167 ÷ 3 = 800,055.6667

If the quotient is a whole number, then 3 and 800,055.6667 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 2,400,167
-1 -2,400,167

Let's try dividing by 4:

2,400,167 ÷ 4 = 600,041.75

If the quotient is a whole number, then 4 and 600,041.75 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 2,400,167
-1 2,400,167
Keep dividing by the next highest number until you cannot divide anymore.

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

1711496173774275115396718032,9893,5774,4534,6975,62131,17132,87939,34748,983218,197342,8812,400,167
-1-7-11-49-61-73-77-427-511-539-671-803-2,989-3,577-4,453-4,697-5,621-31,171-32,879-39,347-48,983-218,197-342,881-2,400,167

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