Q: What are the factor combinations of the number 6,704,035?

 A:
Positive:   1 x 67040355 x 134080713 x 51569517 x 39435565 x 10313985 x 78871221 x 303351105 x 6067
Negative: -1 x -6704035-5 x -1340807-13 x -515695-17 x -394355-65 x -103139-85 x -78871-221 x -30335-1105 x -6067


How do I find the factor combinations of the number 6,704,035?

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 6,704,035, 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 6,704,035
-1 -6,704,035

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 6,704,035.

Example:
1 x 6,704,035 = 6,704,035
and
-1 x -6,704,035 = 6,704,035
Notice both answers equal 6,704,035

With that explanation out of the way, let's continue. Next, we take the number 6,704,035 and divide it by 2:

6,704,035 ÷ 2 = 3,352,017.5

If the quotient is a whole number, then 2 and 3,352,017.5 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 6,704,035
-1 -6,704,035

Now, we try dividing 6,704,035 by 3:

6,704,035 ÷ 3 = 2,234,678.3333

If the quotient is a whole number, then 3 and 2,234,678.3333 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 6,704,035
-1 -6,704,035

Let's try dividing by 4:

6,704,035 ÷ 4 = 1,676,008.75

If the quotient is a whole number, then 4 and 1,676,008.75 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 6,704,035
-1 6,704,035
Keep dividing by the next highest number until you cannot divide anymore.

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

15131765852211,1056,06730,33578,871103,139394,355515,6951,340,8076,704,035
-1-5-13-17-65-85-221-1,105-6,067-30,335-78,871-103,139-394,355-515,695-1,340,807-6,704,035

More Examples

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