Q: What are the factor combinations of the number 7,337,011?

 A:
Positive:   1 x 733701111 x 66700173 x 100507803 x 9137
Negative: -1 x -7337011-11 x -667001-73 x -100507-803 x -9137


How do I find the factor combinations of the number 7,337,011?

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 7,337,011, 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 7,337,011
-1 -7,337,011

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 7,337,011.

Example:
1 x 7,337,011 = 7,337,011
and
-1 x -7,337,011 = 7,337,011
Notice both answers equal 7,337,011

With that explanation out of the way, let's continue. Next, we take the number 7,337,011 and divide it by 2:

7,337,011 ÷ 2 = 3,668,505.5

If the quotient is a whole number, then 2 and 3,668,505.5 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 7,337,011
-1 -7,337,011

Now, we try dividing 7,337,011 by 3:

7,337,011 ÷ 3 = 2,445,670.3333

If the quotient is a whole number, then 3 and 2,445,670.3333 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 7,337,011
-1 -7,337,011

Let's try dividing by 4:

7,337,011 ÷ 4 = 1,834,252.75

If the quotient is a whole number, then 4 and 1,834,252.75 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 7,337,011
-1 7,337,011
Keep dividing by the next highest number until you cannot divide anymore.

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

111738039,137100,507667,0017,337,011
-1-11-73-803-9,137-100,507-667,001-7,337,011

More Examples

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