Q: What are the factor combinations of the number 7,220,155?

 A:
Positive:   1 x 72201555 x 144403117 x 42471585 x 84943173 x 41735491 x 14705865 x 83472455 x 2941
Negative: -1 x -7220155-5 x -1444031-17 x -424715-85 x -84943-173 x -41735-491 x -14705-865 x -8347-2455 x -2941


How do I find the factor combinations of the number 7,220,155?

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 7,220,155, 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 7,220,155
-1 -7,220,155

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 7,220,155.

Example:
1 x 7,220,155 = 7,220,155
and
-1 x -7,220,155 = 7,220,155
Notice both answers equal 7,220,155

With that explanation out of the way, let's continue. Next, we take the number 7,220,155 and divide it by 2:

7,220,155 ÷ 2 = 3,610,077.5

If the quotient is a whole number, then 2 and 3,610,077.5 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 7,220,155
-1 -7,220,155

Now, we try dividing 7,220,155 by 3:

7,220,155 ÷ 3 = 2,406,718.3333

If the quotient is a whole number, then 3 and 2,406,718.3333 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 7,220,155
-1 -7,220,155

Let's try dividing by 4:

7,220,155 ÷ 4 = 1,805,038.75

If the quotient is a whole number, then 4 and 1,805,038.75 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 7,220,155
-1 7,220,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851734918652,4552,9418,34714,70541,73584,943424,7151,444,0317,220,155
-1-5-17-85-173-491-865-2,455-2,941-8,347-14,705-41,735-84,943-424,715-1,444,031-7,220,155

More Examples

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