Q: What are the factor combinations of the number 3,655,729?

 A:
Positive:   1 x 36557297 x 52224711 x 33233977 x 47477197 x 18557241 x 151691379 x 26511687 x 2167
Negative: -1 x -3655729-7 x -522247-11 x -332339-77 x -47477-197 x -18557-241 x -15169-1379 x -2651-1687 x -2167


How do I find the factor combinations of the number 3,655,729?

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 3,655,729, 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 3,655,729
-1 -3,655,729

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 3,655,729.

Example:
1 x 3,655,729 = 3,655,729
and
-1 x -3,655,729 = 3,655,729
Notice both answers equal 3,655,729

With that explanation out of the way, let's continue. Next, we take the number 3,655,729 and divide it by 2:

3,655,729 ÷ 2 = 1,827,864.5

If the quotient is a whole number, then 2 and 1,827,864.5 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 3,655,729
-1 -3,655,729

Now, we try dividing 3,655,729 by 3:

3,655,729 ÷ 3 = 1,218,576.3333

If the quotient is a whole number, then 3 and 1,218,576.3333 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 3,655,729
-1 -3,655,729

Let's try dividing by 4:

3,655,729 ÷ 4 = 913,932.25

If the quotient is a whole number, then 4 and 913,932.25 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 3,655,729
-1 3,655,729
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771972411,3791,6872,1672,65115,16918,55747,477332,339522,2473,655,729
-1-7-11-77-197-241-1,379-1,687-2,167-2,651-15,169-18,557-47,477-332,339-522,247-3,655,729

More Examples

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