Q: What are the factor combinations of the number 5,562,023?

 A:
Positive:   1 x 55620231373 x 4051
Negative: -1 x -5562023-1373 x -4051


How do I find the factor combinations of the number 5,562,023?

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 5,562,023, 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 5,562,023
-1 -5,562,023

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 5,562,023.

Example:
1 x 5,562,023 = 5,562,023
and
-1 x -5,562,023 = 5,562,023
Notice both answers equal 5,562,023

With that explanation out of the way, let's continue. Next, we take the number 5,562,023 and divide it by 2:

5,562,023 ÷ 2 = 2,781,011.5

If the quotient is a whole number, then 2 and 2,781,011.5 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 5,562,023
-1 -5,562,023

Now, we try dividing 5,562,023 by 3:

5,562,023 ÷ 3 = 1,854,007.6667

If the quotient is a whole number, then 3 and 1,854,007.6667 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 5,562,023
-1 -5,562,023

Let's try dividing by 4:

5,562,023 ÷ 4 = 1,390,505.75

If the quotient is a whole number, then 4 and 1,390,505.75 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 5,562,023
-1 5,562,023
Keep dividing by the next highest number until you cannot divide anymore.

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

11,3734,0515,562,023
-1-1,373-4,051-5,562,023

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 5,562,023:


Ask a Question