Q: What are the factor combinations of the number 7,137,515?

 A:
Positive:   1 x 71375155 x 14275037 x 101964511 x 64886535 x 20392955 x 12977377 x 92695385 x 18539
Negative: -1 x -7137515-5 x -1427503-7 x -1019645-11 x -648865-35 x -203929-55 x -129773-77 x -92695-385 x -18539


How do I find the factor combinations of the number 7,137,515?

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 7,137,515, 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 7,137,515
-1 -7,137,515

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 7,137,515.

Example:
1 x 7,137,515 = 7,137,515
and
-1 x -7,137,515 = 7,137,515
Notice both answers equal 7,137,515

With that explanation out of the way, let's continue. Next, we take the number 7,137,515 and divide it by 2:

7,137,515 ÷ 2 = 3,568,757.5

If the quotient is a whole number, then 2 and 3,568,757.5 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 7,137,515
-1 -7,137,515

Now, we try dividing 7,137,515 by 3:

7,137,515 ÷ 3 = 2,379,171.6667

If the quotient is a whole number, then 3 and 2,379,171.6667 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 7,137,515
-1 -7,137,515

Let's try dividing by 4:

7,137,515 ÷ 4 = 1,784,378.75

If the quotient is a whole number, then 4 and 1,784,378.75 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 7,137,515
-1 7,137,515
Keep dividing by the next highest number until you cannot divide anymore.

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

1571135557738518,53992,695129,773203,929648,8651,019,6451,427,5037,137,515
-1-5-7-11-35-55-77-385-18,539-92,695-129,773-203,929-648,865-1,019,645-1,427,503-7,137,515

More Examples

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