Q: What are the factor combinations of the number 10,737,337?

 A:
Positive:   1 x 1073733713 x 82594919 x 56512329 x 370253247 x 43471377 x 28481551 x 194871499 x 7163
Negative: -1 x -10737337-13 x -825949-19 x -565123-29 x -370253-247 x -43471-377 x -28481-551 x -19487-1499 x -7163


How do I find the factor combinations of the number 10,737,337?

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 10,737,337, 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 10,737,337
-1 -10,737,337

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 10,737,337.

Example:
1 x 10,737,337 = 10,737,337
and
-1 x -10,737,337 = 10,737,337
Notice both answers equal 10,737,337

With that explanation out of the way, let's continue. Next, we take the number 10,737,337 and divide it by 2:

10,737,337 ÷ 2 = 5,368,668.5

If the quotient is a whole number, then 2 and 5,368,668.5 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 10,737,337
-1 -10,737,337

Now, we try dividing 10,737,337 by 3:

10,737,337 ÷ 3 = 3,579,112.3333

If the quotient is a whole number, then 3 and 3,579,112.3333 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 10,737,337
-1 -10,737,337

Let's try dividing by 4:

10,737,337 ÷ 4 = 2,684,334.25

If the quotient is a whole number, then 4 and 2,684,334.25 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 10,737,337
-1 10,737,337
Keep dividing by the next highest number until you cannot divide anymore.

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

11319292473775511,4997,16319,48728,48143,471370,253565,123825,94910,737,337
-1-13-19-29-247-377-551-1,499-7,163-19,487-28,481-43,471-370,253-565,123-825,949-10,737,337

More Examples

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