Q: What are the factor combinations of the number 6,607,315?

 A:
Positive:   1 x 66073155 x 132146311 x 60066513 x 50825555 x 12013365 x 101651143 x 46205715 x 9241
Negative: -1 x -6607315-5 x -1321463-11 x -600665-13 x -508255-55 x -120133-65 x -101651-143 x -46205-715 x -9241


How do I find the factor combinations of the number 6,607,315?

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 6,607,315, 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 6,607,315
-1 -6,607,315

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 6,607,315.

Example:
1 x 6,607,315 = 6,607,315
and
-1 x -6,607,315 = 6,607,315
Notice both answers equal 6,607,315

With that explanation out of the way, let's continue. Next, we take the number 6,607,315 and divide it by 2:

6,607,315 ÷ 2 = 3,303,657.5

If the quotient is a whole number, then 2 and 3,303,657.5 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 6,607,315
-1 -6,607,315

Now, we try dividing 6,607,315 by 3:

6,607,315 ÷ 3 = 2,202,438.3333

If the quotient is a whole number, then 3 and 2,202,438.3333 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 6,607,315
-1 -6,607,315

Let's try dividing by 4:

6,607,315 ÷ 4 = 1,651,828.75

If the quotient is a whole number, then 4 and 1,651,828.75 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 6,607,315
-1 6,607,315
Keep dividing by the next highest number until you cannot divide anymore.

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

15111355651437159,24146,205101,651120,133508,255600,6651,321,4636,607,315
-1-5-11-13-55-65-143-715-9,241-46,205-101,651-120,133-508,255-600,665-1,321,463-6,607,315

More Examples

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