Q: What are the factor combinations of the number 7,459,933?

 A:
Positive:   1 x 745993313 x 57384131 x 240643107 x 69719173 x 43121403 x 185111391 x 53632249 x 3317
Negative: -1 x -7459933-13 x -573841-31 x -240643-107 x -69719-173 x -43121-403 x -18511-1391 x -5363-2249 x -3317


How do I find the factor combinations of the number 7,459,933?

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 7,459,933, 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 7,459,933
-1 -7,459,933

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 7,459,933.

Example:
1 x 7,459,933 = 7,459,933
and
-1 x -7,459,933 = 7,459,933
Notice both answers equal 7,459,933

With that explanation out of the way, let's continue. Next, we take the number 7,459,933 and divide it by 2:

7,459,933 ÷ 2 = 3,729,966.5

If the quotient is a whole number, then 2 and 3,729,966.5 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 7,459,933
-1 -7,459,933

Now, we try dividing 7,459,933 by 3:

7,459,933 ÷ 3 = 2,486,644.3333

If the quotient is a whole number, then 3 and 2,486,644.3333 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 7,459,933
-1 -7,459,933

Let's try dividing by 4:

7,459,933 ÷ 4 = 1,864,983.25

If the quotient is a whole number, then 4 and 1,864,983.25 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 7,459,933
-1 7,459,933
Keep dividing by the next highest number until you cannot divide anymore.

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

113311071734031,3912,2493,3175,36318,51143,12169,719240,643573,8417,459,933
-1-13-31-107-173-403-1,391-2,249-3,317-5,363-18,511-43,121-69,719-240,643-573,841-7,459,933

More Examples

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