Q: What are the factor combinations of the number 7,047,215?

 A:
Positive:   1 x 70472155 x 14094437 x 100674535 x 201349227 x 31045887 x 79451135 x 62091589 x 4435
Negative: -1 x -7047215-5 x -1409443-7 x -1006745-35 x -201349-227 x -31045-887 x -7945-1135 x -6209-1589 x -4435


How do I find the factor combinations of the number 7,047,215?

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 7,047,215, 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 7,047,215
-1 -7,047,215

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 7,047,215.

Example:
1 x 7,047,215 = 7,047,215
and
-1 x -7,047,215 = 7,047,215
Notice both answers equal 7,047,215

With that explanation out of the way, let's continue. Next, we take the number 7,047,215 and divide it by 2:

7,047,215 ÷ 2 = 3,523,607.5

If the quotient is a whole number, then 2 and 3,523,607.5 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 7,047,215
-1 -7,047,215

Now, we try dividing 7,047,215 by 3:

7,047,215 ÷ 3 = 2,349,071.6667

If the quotient is a whole number, then 3 and 2,349,071.6667 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 7,047,215
-1 -7,047,215

Let's try dividing by 4:

7,047,215 ÷ 4 = 1,761,803.75

If the quotient is a whole number, then 4 and 1,761,803.75 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 7,047,215
-1 7,047,215
Keep dividing by the next highest number until you cannot divide anymore.

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

157352278871,1351,5894,4356,2097,94531,045201,3491,006,7451,409,4437,047,215
-1-5-7-35-227-887-1,135-1,589-4,435-6,209-7,945-31,045-201,349-1,006,745-1,409,443-7,047,215

More Examples

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