Q: What are the factor combinations of the number 6,720,925?

 A:
Positive:   1 x 67209255 x 134418525 x 26883741 x 16392579 x 8507583 x 80975205 x 32785395 x 17015415 x 161951025 x 65571975 x 34032075 x 3239
Negative: -1 x -6720925-5 x -1344185-25 x -268837-41 x -163925-79 x -85075-83 x -80975-205 x -32785-395 x -17015-415 x -16195-1025 x -6557-1975 x -3403-2075 x -3239


How do I find the factor combinations of the number 6,720,925?

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 6,720,925, 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 6,720,925
-1 -6,720,925

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 6,720,925.

Example:
1 x 6,720,925 = 6,720,925
and
-1 x -6,720,925 = 6,720,925
Notice both answers equal 6,720,925

With that explanation out of the way, let's continue. Next, we take the number 6,720,925 and divide it by 2:

6,720,925 ÷ 2 = 3,360,462.5

If the quotient is a whole number, then 2 and 3,360,462.5 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 6,720,925
-1 -6,720,925

Now, we try dividing 6,720,925 by 3:

6,720,925 ÷ 3 = 2,240,308.3333

If the quotient is a whole number, then 3 and 2,240,308.3333 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 6,720,925
-1 -6,720,925

Let's try dividing by 4:

6,720,925 ÷ 4 = 1,680,231.25

If the quotient is a whole number, then 4 and 1,680,231.25 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 6,720,925
-1 6,720,925
Keep dividing by the next highest number until you cannot divide anymore.

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

15254179832053954151,0251,9752,0753,2393,4036,55716,19517,01532,78580,97585,075163,925268,8371,344,1856,720,925
-1-5-25-41-79-83-205-395-415-1,025-1,975-2,075-3,239-3,403-6,557-16,195-17,015-32,785-80,975-85,075-163,925-268,837-1,344,185-6,720,925

More Examples

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