Q: What are the factor combinations of the number 10,737,047?

 A:
Positive:   1 x 1073704717 x 63159129 x 370243493 x 21779751 x 14297841 x 12767
Negative: -1 x -10737047-17 x -631591-29 x -370243-493 x -21779-751 x -14297-841 x -12767


How do I find the factor combinations of the number 10,737,047?

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 10,737,047, 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 10,737,047
-1 -10,737,047

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 10,737,047.

Example:
1 x 10,737,047 = 10,737,047
and
-1 x -10,737,047 = 10,737,047
Notice both answers equal 10,737,047

With that explanation out of the way, let's continue. Next, we take the number 10,737,047 and divide it by 2:

10,737,047 ÷ 2 = 5,368,523.5

If the quotient is a whole number, then 2 and 5,368,523.5 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 10,737,047
-1 -10,737,047

Now, we try dividing 10,737,047 by 3:

10,737,047 ÷ 3 = 3,579,015.6667

If the quotient is a whole number, then 3 and 3,579,015.6667 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 10,737,047
-1 -10,737,047

Let's try dividing by 4:

10,737,047 ÷ 4 = 2,684,261.75

If the quotient is a whole number, then 4 and 2,684,261.75 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 10,737,047
-1 10,737,047
Keep dividing by the next highest number until you cannot divide anymore.

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

1172949375184112,76714,29721,779370,243631,59110,737,047
-1-17-29-493-751-841-12,767-14,297-21,779-370,243-631,591-10,737,047

More Examples

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