Q: What are the factor combinations of the number 5,720,725?

 A:
Positive:   1 x 57207255 x 114414525 x 228829
Negative: -1 x -5720725-5 x -1144145-25 x -228829


How do I find the factor combinations of the number 5,720,725?

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 5,720,725, 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 5,720,725
-1 -5,720,725

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 5,720,725.

Example:
1 x 5,720,725 = 5,720,725
and
-1 x -5,720,725 = 5,720,725
Notice both answers equal 5,720,725

With that explanation out of the way, let's continue. Next, we take the number 5,720,725 and divide it by 2:

5,720,725 ÷ 2 = 2,860,362.5

If the quotient is a whole number, then 2 and 2,860,362.5 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 5,720,725
-1 -5,720,725

Now, we try dividing 5,720,725 by 3:

5,720,725 ÷ 3 = 1,906,908.3333

If the quotient is a whole number, then 3 and 1,906,908.3333 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 5,720,725
-1 -5,720,725

Let's try dividing by 4:

5,720,725 ÷ 4 = 1,430,181.25

If the quotient is a whole number, then 4 and 1,430,181.25 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 5,720,725
-1 5,720,725
Keep dividing by the next highest number until you cannot divide anymore.

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

1525228,8291,144,1455,720,725
-1-5-25-228,829-1,144,145-5,720,725

More Examples

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