Q: What are the factor combinations of the number 8,470,003?

 A:
Positive:   1 x 847000323 x 36826137 x 228919269 x 31487851 x 99531369 x 6187
Negative: -1 x -8470003-23 x -368261-37 x -228919-269 x -31487-851 x -9953-1369 x -6187


How do I find the factor combinations of the number 8,470,003?

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 8,470,003, 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 8,470,003
-1 -8,470,003

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 8,470,003.

Example:
1 x 8,470,003 = 8,470,003
and
-1 x -8,470,003 = 8,470,003
Notice both answers equal 8,470,003

With that explanation out of the way, let's continue. Next, we take the number 8,470,003 and divide it by 2:

8,470,003 ÷ 2 = 4,235,001.5

If the quotient is a whole number, then 2 and 4,235,001.5 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 8,470,003
-1 -8,470,003

Now, we try dividing 8,470,003 by 3:

8,470,003 ÷ 3 = 2,823,334.3333

If the quotient is a whole number, then 3 and 2,823,334.3333 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 8,470,003
-1 -8,470,003

Let's try dividing by 4:

8,470,003 ÷ 4 = 2,117,500.75

If the quotient is a whole number, then 4 and 2,117,500.75 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 8,470,003
-1 8,470,003
Keep dividing by the next highest number until you cannot divide anymore.

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

123372698511,3696,1879,95331,487228,919368,2618,470,003
-1-23-37-269-851-1,369-6,187-9,953-31,487-228,919-368,261-8,470,003

More Examples

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