Q: What are the factor combinations of the number 2,377,963?

 A:
Positive:   1 x 23779637 x 33970961 x 38983427 x 5569
Negative: -1 x -2377963-7 x -339709-61 x -38983-427 x -5569


How do I find the factor combinations of the number 2,377,963?

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 2,377,963, 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 2,377,963
-1 -2,377,963

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 2,377,963.

Example:
1 x 2,377,963 = 2,377,963
and
-1 x -2,377,963 = 2,377,963
Notice both answers equal 2,377,963

With that explanation out of the way, let's continue. Next, we take the number 2,377,963 and divide it by 2:

2,377,963 ÷ 2 = 1,188,981.5

If the quotient is a whole number, then 2 and 1,188,981.5 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 2,377,963
-1 -2,377,963

Now, we try dividing 2,377,963 by 3:

2,377,963 ÷ 3 = 792,654.3333

If the quotient is a whole number, then 3 and 792,654.3333 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 2,377,963
-1 -2,377,963

Let's try dividing by 4:

2,377,963 ÷ 4 = 594,490.75

If the quotient is a whole number, then 4 and 594,490.75 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 2,377,963
-1 2,377,963
Keep dividing by the next highest number until you cannot divide anymore.

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

17614275,56938,983339,7092,377,963
-1-7-61-427-5,569-38,983-339,709-2,377,963

More Examples

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