Q: What are the factor combinations of the number 4,226,873?

 A:
Positive:   1 x 42268737 x 60383919 x 22246761 x 69293133 x 31781427 x 9899521 x 81131159 x 3647
Negative: -1 x -4226873-7 x -603839-19 x -222467-61 x -69293-133 x -31781-427 x -9899-521 x -8113-1159 x -3647


How do I find the factor combinations of the number 4,226,873?

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 4,226,873, 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 4,226,873
-1 -4,226,873

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 4,226,873.

Example:
1 x 4,226,873 = 4,226,873
and
-1 x -4,226,873 = 4,226,873
Notice both answers equal 4,226,873

With that explanation out of the way, let's continue. Next, we take the number 4,226,873 and divide it by 2:

4,226,873 ÷ 2 = 2,113,436.5

If the quotient is a whole number, then 2 and 2,113,436.5 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 4,226,873
-1 -4,226,873

Now, we try dividing 4,226,873 by 3:

4,226,873 ÷ 3 = 1,408,957.6667

If the quotient is a whole number, then 3 and 1,408,957.6667 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 4,226,873
-1 -4,226,873

Let's try dividing by 4:

4,226,873 ÷ 4 = 1,056,718.25

If the quotient is a whole number, then 4 and 1,056,718.25 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 4,226,873
-1 4,226,873
Keep dividing by the next highest number until you cannot divide anymore.

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

1719611334275211,1593,6478,1139,89931,78169,293222,467603,8394,226,873
-1-7-19-61-133-427-521-1,159-3,647-8,113-9,899-31,781-69,293-222,467-603,839-4,226,873

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 4,226,873:


Ask a Question