Q: What are the factor combinations of the number 7,225,205?

 A:
Positive:   1 x 72252055 x 144504113 x 55578529 x 24914565 x 111157145 x 49829377 x 191651885 x 3833
Negative: -1 x -7225205-5 x -1445041-13 x -555785-29 x -249145-65 x -111157-145 x -49829-377 x -19165-1885 x -3833


How do I find the factor combinations of the number 7,225,205?

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 7,225,205, 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 7,225,205
-1 -7,225,205

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 7,225,205.

Example:
1 x 7,225,205 = 7,225,205
and
-1 x -7,225,205 = 7,225,205
Notice both answers equal 7,225,205

With that explanation out of the way, let's continue. Next, we take the number 7,225,205 and divide it by 2:

7,225,205 ÷ 2 = 3,612,602.5

If the quotient is a whole number, then 2 and 3,612,602.5 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 7,225,205
-1 -7,225,205

Now, we try dividing 7,225,205 by 3:

7,225,205 ÷ 3 = 2,408,401.6667

If the quotient is a whole number, then 3 and 2,408,401.6667 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 7,225,205
-1 -7,225,205

Let's try dividing by 4:

7,225,205 ÷ 4 = 1,806,301.25

If the quotient is a whole number, then 4 and 1,806,301.25 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 7,225,205
-1 7,225,205
Keep dividing by the next highest number until you cannot divide anymore.

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

151329651453771,8853,83319,16549,829111,157249,145555,7851,445,0417,225,205
-1-5-13-29-65-145-377-1,885-3,833-19,165-49,829-111,157-249,145-555,785-1,445,041-7,225,205

More Examples

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