Q: What are the factor combinations of the number 2,400,545?

 A:
Positive:   1 x 24005455 x 4801097 x 34293535 x 68587107 x 22435535 x 4487641 x 3745749 x 3205
Negative: -1 x -2400545-5 x -480109-7 x -342935-35 x -68587-107 x -22435-535 x -4487-641 x -3745-749 x -3205


How do I find the factor combinations of the number 2,400,545?

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 2,400,545, 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 2,400,545
-1 -2,400,545

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 2,400,545.

Example:
1 x 2,400,545 = 2,400,545
and
-1 x -2,400,545 = 2,400,545
Notice both answers equal 2,400,545

With that explanation out of the way, let's continue. Next, we take the number 2,400,545 and divide it by 2:

2,400,545 ÷ 2 = 1,200,272.5

If the quotient is a whole number, then 2 and 1,200,272.5 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 2,400,545
-1 -2,400,545

Now, we try dividing 2,400,545 by 3:

2,400,545 ÷ 3 = 800,181.6667

If the quotient is a whole number, then 3 and 800,181.6667 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 2,400,545
-1 -2,400,545

Let's try dividing by 4:

2,400,545 ÷ 4 = 600,136.25

If the quotient is a whole number, then 4 and 600,136.25 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 2,400,545
-1 2,400,545
Keep dividing by the next highest number until you cannot divide anymore.

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

157351075356417493,2053,7454,48722,43568,587342,935480,1092,400,545
-1-5-7-35-107-535-641-749-3,205-3,745-4,487-22,435-68,587-342,935-480,109-2,400,545

More Examples

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