Q: What are the factor combinations of the number 743,869?

 A:
Positive:   1 x 7438697 x 10626717 x 4375719 x 3915147 x 1582749 x 15181119 x 6251133 x 5593323 x 2303329 x 2261799 x 931833 x 893
Negative: -1 x -743869-7 x -106267-17 x -43757-19 x -39151-47 x -15827-49 x -15181-119 x -6251-133 x -5593-323 x -2303-329 x -2261-799 x -931-833 x -893


How do I find the factor combinations of the number 743,869?

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 743,869, 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.

1 743,869
-1 -743,869

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 743,869.

Example:
1 x 743,869 = 743,869
and
-1 x -743,869 = 743,869
Notice both answers equal 743,869

With that explanation out of the way, let's continue. Next, we take the number 743,869 and divide it by 2:

743,869 ÷ 2 = 371,934.5

If the quotient is a whole number, then 2 and 371,934.5 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:

1 743,869
-1 -743,869

Now, we try dividing 743,869 by 3:

743,869 ÷ 3 = 247,956.3333

If the quotient is a whole number, then 3 and 247,956.3333 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:

1 743,869
-1 -743,869

Let's try dividing by 4:

743,869 ÷ 4 = 185,967.25

If the quotient is a whole number, then 4 and 185,967.25 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:

1 743,869
-1 743,869
Keep dividing by the next highest number until you cannot divide anymore.

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

17171947491191333233297998338939312,2612,3035,5936,25115,18115,82739,15143,757106,267743,869
-1-7-17-19-47-49-119-133-323-329-799-833-893-931-2,261-2,303-5,593-6,251-15,181-15,827-39,151-43,757-106,267-743,869

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