Q: What are the factor combinations of the number 7,200,613?

 A:
Positive:   1 x 72006137 x 102865929 x 24829779 x 91147203 x 35471449 x 16037553 x 130212291 x 3143
Negative: -1 x -7200613-7 x -1028659-29 x -248297-79 x -91147-203 x -35471-449 x -16037-553 x -13021-2291 x -3143


How do I find the factor combinations of the number 7,200,613?

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 7,200,613, 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 7,200,613
-1 -7,200,613

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 7,200,613.

Example:
1 x 7,200,613 = 7,200,613
and
-1 x -7,200,613 = 7,200,613
Notice both answers equal 7,200,613

With that explanation out of the way, let's continue. Next, we take the number 7,200,613 and divide it by 2:

7,200,613 ÷ 2 = 3,600,306.5

If the quotient is a whole number, then 2 and 3,600,306.5 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 7,200,613
-1 -7,200,613

Now, we try dividing 7,200,613 by 3:

7,200,613 ÷ 3 = 2,400,204.3333

If the quotient is a whole number, then 3 and 2,400,204.3333 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 7,200,613
-1 -7,200,613

Let's try dividing by 4:

7,200,613 ÷ 4 = 1,800,153.25

If the quotient is a whole number, then 4 and 1,800,153.25 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 7,200,613
-1 7,200,613
Keep dividing by the next highest number until you cannot divide anymore.

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

1729792034495532,2913,14313,02116,03735,47191,147248,2971,028,6597,200,613
-1-7-29-79-203-449-553-2,291-3,143-13,021-16,037-35,471-91,147-248,297-1,028,659-7,200,613

More Examples

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