Q: What are the factor combinations of the number 4,361,245?

 A:
Positive:   1 x 43612455 x 8722497 x 62303535 x 12460749 x 89005245 x 17801343 x 127151715 x 2543
Negative: -1 x -4361245-5 x -872249-7 x -623035-35 x -124607-49 x -89005-245 x -17801-343 x -12715-1715 x -2543


How do I find the factor combinations of the number 4,361,245?

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 4,361,245, 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 4,361,245
-1 -4,361,245

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 4,361,245.

Example:
1 x 4,361,245 = 4,361,245
and
-1 x -4,361,245 = 4,361,245
Notice both answers equal 4,361,245

With that explanation out of the way, let's continue. Next, we take the number 4,361,245 and divide it by 2:

4,361,245 ÷ 2 = 2,180,622.5

If the quotient is a whole number, then 2 and 2,180,622.5 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 4,361,245
-1 -4,361,245

Now, we try dividing 4,361,245 by 3:

4,361,245 ÷ 3 = 1,453,748.3333

If the quotient is a whole number, then 3 and 1,453,748.3333 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 4,361,245
-1 -4,361,245

Let's try dividing by 4:

4,361,245 ÷ 4 = 1,090,311.25

If the quotient is a whole number, then 4 and 1,090,311.25 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 4,361,245
-1 4,361,245
Keep dividing by the next highest number until you cannot divide anymore.

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

15735492453431,7152,54312,71517,80189,005124,607623,035872,2494,361,245
-1-5-7-35-49-245-343-1,715-2,543-12,715-17,801-89,005-124,607-623,035-872,249-4,361,245

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 4,361,245:


Ask a Question