Q: What are the factor combinations of the number 6,995,075?

 A:
Positive:   1 x 69950755 x 139901517 x 41147525 x 27980385 x 82295109 x 64175151 x 46325425 x 16459545 x 12835755 x 92651853 x 37752567 x 2725
Negative: -1 x -6995075-5 x -1399015-17 x -411475-25 x -279803-85 x -82295-109 x -64175-151 x -46325-425 x -16459-545 x -12835-755 x -9265-1853 x -3775-2567 x -2725


How do I find the factor combinations of the number 6,995,075?

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 6,995,075, 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 6,995,075
-1 -6,995,075

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 6,995,075.

Example:
1 x 6,995,075 = 6,995,075
and
-1 x -6,995,075 = 6,995,075
Notice both answers equal 6,995,075

With that explanation out of the way, let's continue. Next, we take the number 6,995,075 and divide it by 2:

6,995,075 ÷ 2 = 3,497,537.5

If the quotient is a whole number, then 2 and 3,497,537.5 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 6,995,075
-1 -6,995,075

Now, we try dividing 6,995,075 by 3:

6,995,075 ÷ 3 = 2,331,691.6667

If the quotient is a whole number, then 3 and 2,331,691.6667 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 6,995,075
-1 -6,995,075

Let's try dividing by 4:

6,995,075 ÷ 4 = 1,748,768.75

If the quotient is a whole number, then 4 and 1,748,768.75 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 6,995,075
-1 6,995,075
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851091514255457551,8532,5672,7253,7759,26512,83516,45946,32564,17582,295279,803411,4751,399,0156,995,075
-1-5-17-25-85-109-151-425-545-755-1,853-2,567-2,725-3,775-9,265-12,835-16,459-46,325-64,175-82,295-279,803-411,475-1,399,015-6,995,075

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 6,995,075:


Ask a Question