Q: What are the factor combinations of the number 3,488,075?

 A:
Positive:   1 x 34880755 x 69761525 x 13952341 x 8507583 x 42025205 x 17015415 x 84051025 x 34031681 x 2075
Negative: -1 x -3488075-5 x -697615-25 x -139523-41 x -85075-83 x -42025-205 x -17015-415 x -8405-1025 x -3403-1681 x -2075


How do I find the factor combinations of the number 3,488,075?

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 3,488,075, 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 3,488,075
-1 -3,488,075

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 3,488,075.

Example:
1 x 3,488,075 = 3,488,075
and
-1 x -3,488,075 = 3,488,075
Notice both answers equal 3,488,075

With that explanation out of the way, let's continue. Next, we take the number 3,488,075 and divide it by 2:

3,488,075 ÷ 2 = 1,744,037.5

If the quotient is a whole number, then 2 and 1,744,037.5 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 3,488,075
-1 -3,488,075

Now, we try dividing 3,488,075 by 3:

3,488,075 ÷ 3 = 1,162,691.6667

If the quotient is a whole number, then 3 and 1,162,691.6667 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 3,488,075
-1 -3,488,075

Let's try dividing by 4:

3,488,075 ÷ 4 = 872,018.75

If the quotient is a whole number, then 4 and 872,018.75 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 3,488,075
-1 3,488,075
Keep dividing by the next highest number until you cannot divide anymore.

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

152541832054151,0251,6812,0753,4038,40517,01542,02585,075139,523697,6153,488,075
-1-5-25-41-83-205-415-1,025-1,681-2,075-3,403-8,405-17,015-42,025-85,075-139,523-697,615-3,488,075

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 3,488,075:


Ask a Question