Q: What are the factor combinations of the number 7,020,221?

 A:
Positive:   1 x 702022113 x 54001723 x 30522753 x 132457299 x 23479443 x 15847689 x 101891219 x 5759
Negative: -1 x -7020221-13 x -540017-23 x -305227-53 x -132457-299 x -23479-443 x -15847-689 x -10189-1219 x -5759


How do I find the factor combinations of the number 7,020,221?

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 7,020,221, 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 7,020,221
-1 -7,020,221

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 7,020,221.

Example:
1 x 7,020,221 = 7,020,221
and
-1 x -7,020,221 = 7,020,221
Notice both answers equal 7,020,221

With that explanation out of the way, let's continue. Next, we take the number 7,020,221 and divide it by 2:

7,020,221 ÷ 2 = 3,510,110.5

If the quotient is a whole number, then 2 and 3,510,110.5 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 7,020,221
-1 -7,020,221

Now, we try dividing 7,020,221 by 3:

7,020,221 ÷ 3 = 2,340,073.6667

If the quotient is a whole number, then 3 and 2,340,073.6667 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 7,020,221
-1 -7,020,221

Let's try dividing by 4:

7,020,221 ÷ 4 = 1,755,055.25

If the quotient is a whole number, then 4 and 1,755,055.25 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 7,020,221
-1 7,020,221
Keep dividing by the next highest number until you cannot divide anymore.

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

11323532994436891,2195,75910,18915,84723,479132,457305,227540,0177,020,221
-1-13-23-53-299-443-689-1,219-5,759-10,189-15,847-23,479-132,457-305,227-540,017-7,020,221

More Examples

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