Q: What are the factor combinations of the number 1,425,361?

 A:
Positive:   1 x 14253617 x 20362319 x 7501949 x 29089133 x 10717931 x 1531
Negative: -1 x -1425361-7 x -203623-19 x -75019-49 x -29089-133 x -10717-931 x -1531


How do I find the factor combinations of the number 1,425,361?

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 1,425,361, 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 1,425,361
-1 -1,425,361

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 1,425,361.

Example:
1 x 1,425,361 = 1,425,361
and
-1 x -1,425,361 = 1,425,361
Notice both answers equal 1,425,361

With that explanation out of the way, let's continue. Next, we take the number 1,425,361 and divide it by 2:

1,425,361 ÷ 2 = 712,680.5

If the quotient is a whole number, then 2 and 712,680.5 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 1,425,361
-1 -1,425,361

Now, we try dividing 1,425,361 by 3:

1,425,361 ÷ 3 = 475,120.3333

If the quotient is a whole number, then 3 and 475,120.3333 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 1,425,361
-1 -1,425,361

Let's try dividing by 4:

1,425,361 ÷ 4 = 356,340.25

If the quotient is a whole number, then 4 and 356,340.25 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 1,425,361
-1 1,425,361
Keep dividing by the next highest number until you cannot divide anymore.

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

1719491339311,53110,71729,08975,019203,6231,425,361
-1-7-19-49-133-931-1,531-10,717-29,089-75,019-203,623-1,425,361

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,425,361:


Ask a Question