Q: What are the factor combinations of the number 6,731,495?

 A:
Positive:   1 x 67314955 x 134629931 x 217145137 x 49135155 x 43429317 x 21235685 x 98271585 x 4247
Negative: -1 x -6731495-5 x -1346299-31 x -217145-137 x -49135-155 x -43429-317 x -21235-685 x -9827-1585 x -4247


How do I find the factor combinations of the number 6,731,495?

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 6,731,495, 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 6,731,495
-1 -6,731,495

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 6,731,495.

Example:
1 x 6,731,495 = 6,731,495
and
-1 x -6,731,495 = 6,731,495
Notice both answers equal 6,731,495

With that explanation out of the way, let's continue. Next, we take the number 6,731,495 and divide it by 2:

6,731,495 ÷ 2 = 3,365,747.5

If the quotient is a whole number, then 2 and 3,365,747.5 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 6,731,495
-1 -6,731,495

Now, we try dividing 6,731,495 by 3:

6,731,495 ÷ 3 = 2,243,831.6667

If the quotient is a whole number, then 3 and 2,243,831.6667 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 6,731,495
-1 -6,731,495

Let's try dividing by 4:

6,731,495 ÷ 4 = 1,682,873.75

If the quotient is a whole number, then 4 and 1,682,873.75 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 6,731,495
-1 6,731,495
Keep dividing by the next highest number until you cannot divide anymore.

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

15311371553176851,5854,2479,82721,23543,42949,135217,1451,346,2996,731,495
-1-5-31-137-155-317-685-1,585-4,247-9,827-21,235-43,429-49,135-217,145-1,346,299-6,731,495

More Examples

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