Q: What are the factor combinations of the number 19,240,507?

 A:
Positive:   1 x 1924050711 x 174913713 x 1480039143 x 134549157 x 122551857 x 224511727 x 111412041 x 9427
Negative: -1 x -19240507-11 x -1749137-13 x -1480039-143 x -134549-157 x -122551-857 x -22451-1727 x -11141-2041 x -9427


How do I find the factor combinations of the number 19,240,507?

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 19,240,507, 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 19,240,507
-1 -19,240,507

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 19,240,507.

Example:
1 x 19,240,507 = 19,240,507
and
-1 x -19,240,507 = 19,240,507
Notice both answers equal 19,240,507

With that explanation out of the way, let's continue. Next, we take the number 19,240,507 and divide it by 2:

19,240,507 ÷ 2 = 9,620,253.5

If the quotient is a whole number, then 2 and 9,620,253.5 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 19,240,507
-1 -19,240,507

Now, we try dividing 19,240,507 by 3:

19,240,507 ÷ 3 = 6,413,502.3333

If the quotient is a whole number, then 3 and 6,413,502.3333 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 19,240,507
-1 -19,240,507

Let's try dividing by 4:

19,240,507 ÷ 4 = 4,810,126.75

If the quotient is a whole number, then 4 and 4,810,126.75 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 19,240,507
-1 19,240,507
Keep dividing by the next highest number until you cannot divide anymore.

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

111131431578571,7272,0419,42711,14122,451122,551134,5491,480,0391,749,13719,240,507
-1-11-13-143-157-857-1,727-2,041-9,427-11,141-22,451-122,551-134,549-1,480,039-1,749,137-19,240,507

More Examples

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