Q: What are the factor combinations of the number 7,046,039?

 A:
Positive:   1 x 70460397 x 100657711 x 64054913 x 54200377 x 9150791 x 77429143 x 492731001 x 7039
Negative: -1 x -7046039-7 x -1006577-11 x -640549-13 x -542003-77 x -91507-91 x -77429-143 x -49273-1001 x -7039


How do I find the factor combinations of the number 7,046,039?

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 7,046,039, 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 7,046,039
-1 -7,046,039

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 7,046,039.

Example:
1 x 7,046,039 = 7,046,039
and
-1 x -7,046,039 = 7,046,039
Notice both answers equal 7,046,039

With that explanation out of the way, let's continue. Next, we take the number 7,046,039 and divide it by 2:

7,046,039 ÷ 2 = 3,523,019.5

If the quotient is a whole number, then 2 and 3,523,019.5 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 7,046,039
-1 -7,046,039

Now, we try dividing 7,046,039 by 3:

7,046,039 ÷ 3 = 2,348,679.6667

If the quotient is a whole number, then 3 and 2,348,679.6667 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 7,046,039
-1 -7,046,039

Let's try dividing by 4:

7,046,039 ÷ 4 = 1,761,509.75

If the quotient is a whole number, then 4 and 1,761,509.75 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 7,046,039
-1 7,046,039
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911431,0017,03949,27377,42991,507542,003640,5491,006,5777,046,039
-1-7-11-13-77-91-143-1,001-7,039-49,273-77,429-91,507-542,003-640,549-1,006,577-7,046,039

More Examples

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