Q: What are the factor combinations of the number 4,602,845?

 A:
Positive:   1 x 46028455 x 92056913 x 35406519 x 24225565 x 7081395 x 48451247 x 186351235 x 3727
Negative: -1 x -4602845-5 x -920569-13 x -354065-19 x -242255-65 x -70813-95 x -48451-247 x -18635-1235 x -3727


How do I find the factor combinations of the number 4,602,845?

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 4,602,845, 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 4,602,845
-1 -4,602,845

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 4,602,845.

Example:
1 x 4,602,845 = 4,602,845
and
-1 x -4,602,845 = 4,602,845
Notice both answers equal 4,602,845

With that explanation out of the way, let's continue. Next, we take the number 4,602,845 and divide it by 2:

4,602,845 ÷ 2 = 2,301,422.5

If the quotient is a whole number, then 2 and 2,301,422.5 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 4,602,845
-1 -4,602,845

Now, we try dividing 4,602,845 by 3:

4,602,845 ÷ 3 = 1,534,281.6667

If the quotient is a whole number, then 3 and 1,534,281.6667 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 4,602,845
-1 -4,602,845

Let's try dividing by 4:

4,602,845 ÷ 4 = 1,150,711.25

If the quotient is a whole number, then 4 and 1,150,711.25 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 4,602,845
-1 4,602,845
Keep dividing by the next highest number until you cannot divide anymore.

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

15131965952471,2353,72718,63548,45170,813242,255354,065920,5694,602,845
-1-5-13-19-65-95-247-1,235-3,727-18,635-48,451-70,813-242,255-354,065-920,569-4,602,845

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 4,602,845:


Ask a Question