Q: What are the factor combinations of the number 7,003,367?

 A:
Positive:   1 x 70033677 x 100048143 x 16286953 x 132139301 x 23267371 x 18877439 x 159532279 x 3073
Negative: -1 x -7003367-7 x -1000481-43 x -162869-53 x -132139-301 x -23267-371 x -18877-439 x -15953-2279 x -3073


How do I find the factor combinations of the number 7,003,367?

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 7,003,367, 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 7,003,367
-1 -7,003,367

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 7,003,367.

Example:
1 x 7,003,367 = 7,003,367
and
-1 x -7,003,367 = 7,003,367
Notice both answers equal 7,003,367

With that explanation out of the way, let's continue. Next, we take the number 7,003,367 and divide it by 2:

7,003,367 ÷ 2 = 3,501,683.5

If the quotient is a whole number, then 2 and 3,501,683.5 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 7,003,367
-1 -7,003,367

Now, we try dividing 7,003,367 by 3:

7,003,367 ÷ 3 = 2,334,455.6667

If the quotient is a whole number, then 3 and 2,334,455.6667 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 7,003,367
-1 -7,003,367

Let's try dividing by 4:

7,003,367 ÷ 4 = 1,750,841.75

If the quotient is a whole number, then 4 and 1,750,841.75 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 7,003,367
-1 7,003,367
Keep dividing by the next highest number until you cannot divide anymore.

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

1743533013714392,2793,07315,95318,87723,267132,139162,8691,000,4817,003,367
-1-7-43-53-301-371-439-2,279-3,073-15,953-18,877-23,267-132,139-162,869-1,000,481-7,003,367

More Examples

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