Q: What are the factor combinations of the number 7,643,363?

 A:
Positive:   1 x 76433637 x 109190913 x 58795149 x 15598771 x 10765391 x 83993169 x 45227497 x 15379637 x 11999923 x 82811183 x 64612197 x 3479
Negative: -1 x -7643363-7 x -1091909-13 x -587951-49 x -155987-71 x -107653-91 x -83993-169 x -45227-497 x -15379-637 x -11999-923 x -8281-1183 x -6461-2197 x -3479


How do I find the factor combinations of the number 7,643,363?

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 7,643,363, 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 7,643,363
-1 -7,643,363

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 7,643,363.

Example:
1 x 7,643,363 = 7,643,363
and
-1 x -7,643,363 = 7,643,363
Notice both answers equal 7,643,363

With that explanation out of the way, let's continue. Next, we take the number 7,643,363 and divide it by 2:

7,643,363 ÷ 2 = 3,821,681.5

If the quotient is a whole number, then 2 and 3,821,681.5 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 7,643,363
-1 -7,643,363

Now, we try dividing 7,643,363 by 3:

7,643,363 ÷ 3 = 2,547,787.6667

If the quotient is a whole number, then 3 and 2,547,787.6667 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 7,643,363
-1 -7,643,363

Let's try dividing by 4:

7,643,363 ÷ 4 = 1,910,840.75

If the quotient is a whole number, then 4 and 1,910,840.75 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 7,643,363
-1 7,643,363
Keep dividing by the next highest number until you cannot divide anymore.

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

17134971911694976379231,1832,1973,4796,4618,28111,99915,37945,22783,993107,653155,987587,9511,091,9097,643,363
-1-7-13-49-71-91-169-497-637-923-1,183-2,197-3,479-6,461-8,281-11,999-15,379-45,227-83,993-107,653-155,987-587,951-1,091,909-7,643,363

More Examples

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