Q: What are the factor combinations of the number 3,650,423?

 A:
Positive:   1 x 36504237 x 52148961 x 5984383 x 43981103 x 35441427 x 8549581 x 6283721 x 5063
Negative: -1 x -3650423-7 x -521489-61 x -59843-83 x -43981-103 x -35441-427 x -8549-581 x -6283-721 x -5063


How do I find the factor combinations of the number 3,650,423?

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 3,650,423, 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 3,650,423
-1 -3,650,423

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 3,650,423.

Example:
1 x 3,650,423 = 3,650,423
and
-1 x -3,650,423 = 3,650,423
Notice both answers equal 3,650,423

With that explanation out of the way, let's continue. Next, we take the number 3,650,423 and divide it by 2:

3,650,423 ÷ 2 = 1,825,211.5

If the quotient is a whole number, then 2 and 1,825,211.5 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 3,650,423
-1 -3,650,423

Now, we try dividing 3,650,423 by 3:

3,650,423 ÷ 3 = 1,216,807.6667

If the quotient is a whole number, then 3 and 1,216,807.6667 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 3,650,423
-1 -3,650,423

Let's try dividing by 4:

3,650,423 ÷ 4 = 912,605.75

If the quotient is a whole number, then 4 and 912,605.75 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 3,650,423
-1 3,650,423
Keep dividing by the next highest number until you cannot divide anymore.

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

1761831034275817215,0636,2838,54935,44143,98159,843521,4893,650,423
-1-7-61-83-103-427-581-721-5,063-6,283-8,549-35,441-43,981-59,843-521,489-3,650,423

More Examples

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