Q: What are the factor combinations of the number 7,020,115?

 A:
Positive:   1 x 70201155 x 140402353 x 13245559 x 118985265 x 26491295 x 23797449 x 156352245 x 3127
Negative: -1 x -7020115-5 x -1404023-53 x -132455-59 x -118985-265 x -26491-295 x -23797-449 x -15635-2245 x -3127


How do I find the factor combinations of the number 7,020,115?

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 7,020,115, 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 7,020,115
-1 -7,020,115

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 7,020,115.

Example:
1 x 7,020,115 = 7,020,115
and
-1 x -7,020,115 = 7,020,115
Notice both answers equal 7,020,115

With that explanation out of the way, let's continue. Next, we take the number 7,020,115 and divide it by 2:

7,020,115 ÷ 2 = 3,510,057.5

If the quotient is a whole number, then 2 and 3,510,057.5 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 7,020,115
-1 -7,020,115

Now, we try dividing 7,020,115 by 3:

7,020,115 ÷ 3 = 2,340,038.3333

If the quotient is a whole number, then 3 and 2,340,038.3333 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 7,020,115
-1 -7,020,115

Let's try dividing by 4:

7,020,115 ÷ 4 = 1,755,028.75

If the quotient is a whole number, then 4 and 1,755,028.75 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 7,020,115
-1 7,020,115
Keep dividing by the next highest number until you cannot divide anymore.

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

1553592652954492,2453,12715,63523,79726,491118,985132,4551,404,0237,020,115
-1-5-53-59-265-295-449-2,245-3,127-15,635-23,797-26,491-118,985-132,455-1,404,023-7,020,115

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 7,020,115:


Ask a Question