Q: What are the factor combinations of the number 969,215?

 A:
Positive:   1 x 9692155 x 19384313 x 7455531 x 3126537 x 2619565 x 14911155 x 6253169 x 5735185 x 5239403 x 2405481 x 2015845 x 1147
Negative: -1 x -969215-5 x -193843-13 x -74555-31 x -31265-37 x -26195-65 x -14911-155 x -6253-169 x -5735-185 x -5239-403 x -2405-481 x -2015-845 x -1147


How do I find the factor combinations of the number 969,215?

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 969,215, 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.

1 969,215
-1 -969,215

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 969,215.

Example:
1 x 969,215 = 969,215
and
-1 x -969,215 = 969,215
Notice both answers equal 969,215

With that explanation out of the way, let's continue. Next, we take the number 969,215 and divide it by 2:

969,215 ÷ 2 = 484,607.5

If the quotient is a whole number, then 2 and 484,607.5 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:

1 969,215
-1 -969,215

Now, we try dividing 969,215 by 3:

969,215 ÷ 3 = 323,071.6667

If the quotient is a whole number, then 3 and 323,071.6667 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:

1 969,215
-1 -969,215

Let's try dividing by 4:

969,215 ÷ 4 = 242,303.75

If the quotient is a whole number, then 4 and 242,303.75 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:

1 969,215
-1 969,215
Keep dividing by the next highest number until you cannot divide anymore.

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

15133137651551691854034818451,1472,0152,4055,2395,7356,25314,91126,19531,26574,555193,843969,215
-1-5-13-31-37-65-155-169-185-403-481-845-1,147-2,015-2,405-5,239-5,735-6,253-14,911-26,195-31,265-74,555-193,843-969,215

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