Q: What are the factor combinations of the number 5,744,725?

 A:
Positive:   1 x 57447255 x 11489457 x 82067517 x 33792525 x 22978935 x 16413585 x 67585119 x 48275175 x 32827425 x 13517595 x 96551931 x 2975
Negative: -1 x -5744725-5 x -1148945-7 x -820675-17 x -337925-25 x -229789-35 x -164135-85 x -67585-119 x -48275-175 x -32827-425 x -13517-595 x -9655-1931 x -2975


How do I find the factor combinations of the number 5,744,725?

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 5,744,725, 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 5,744,725
-1 -5,744,725

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 5,744,725.

Example:
1 x 5,744,725 = 5,744,725
and
-1 x -5,744,725 = 5,744,725
Notice both answers equal 5,744,725

With that explanation out of the way, let's continue. Next, we take the number 5,744,725 and divide it by 2:

5,744,725 ÷ 2 = 2,872,362.5

If the quotient is a whole number, then 2 and 2,872,362.5 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 5,744,725
-1 -5,744,725

Now, we try dividing 5,744,725 by 3:

5,744,725 ÷ 3 = 1,914,908.3333

If the quotient is a whole number, then 3 and 1,914,908.3333 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 5,744,725
-1 -5,744,725

Let's try dividing by 4:

5,744,725 ÷ 4 = 1,436,181.25

If the quotient is a whole number, then 4 and 1,436,181.25 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 5,744,725
-1 5,744,725
Keep dividing by the next highest number until you cannot divide anymore.

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

157172535851191754255951,9312,9759,65513,51732,82748,27567,585164,135229,789337,925820,6751,148,9455,744,725
-1-5-7-17-25-35-85-119-175-425-595-1,931-2,975-9,655-13,517-32,827-48,275-67,585-164,135-229,789-337,925-820,675-1,148,945-5,744,725

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