Q: What are the factor combinations of the number 748,848,749?

 A:
Positive:   1 x 74884874911 x 6807715961 x 1227620967 x 11176847671 x 1116019737 x 10160774087 x 18322716657 x 44957
Negative: -1 x -748848749-11 x -68077159-61 x -12276209-67 x -11176847-671 x -1116019-737 x -1016077-4087 x -183227-16657 x -44957


How do I find the factor combinations of the number 748,848,749?

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 748,848,749, 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.

1 748,848,749
-1 -748,848,749

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 748,848,749.

Example:
1 x 748,848,749 = 748,848,749
and
-1 x -748,848,749 = 748,848,749
Notice both answers equal 748,848,749

With that explanation out of the way, let's continue. Next, we take the number 748,848,749 and divide it by 2:

748,848,749 ÷ 2 = 374,424,374.5

If the quotient is a whole number, then 2 and 374,424,374.5 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:

1 748,848,749
-1 -748,848,749

Now, we try dividing 748,848,749 by 3:

748,848,749 ÷ 3 = 249,616,249.6667

If the quotient is a whole number, then 3 and 249,616,249.6667 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:

1 748,848,749
-1 -748,848,749

Let's try dividing by 4:

748,848,749 ÷ 4 = 187,212,187.25

If the quotient is a whole number, then 4 and 187,212,187.25 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:

1 748,848,749
-1 748,848,749
Keep dividing by the next highest number until you cannot divide anymore.

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

11161676717374,08716,65744,957183,2271,016,0771,116,01911,176,84712,276,20968,077,159748,848,749
-1-11-61-67-671-737-4,087-16,657-44,957-183,227-1,016,077-1,116,019-11,176,847-12,276,209-68,077,159-748,848,749

More Examples

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