Q: What are the factor combinations of the number 1,422,391?
A:
Positive:
1 x 142239137 x 384431039 x 1369
Negative:
-1 x -1422391-37 x -38443-1039 x -1369
A:
Positive:
1 x 142239137 x 384431039 x 1369
Negative:
-1 x -1422391-37 x -38443-1039 x -1369
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 1,422,391, it is easier to work with a table - it's called factoring from the outside in.
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 | 1,422,391 | |
-1 | -1,422,391 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 1,422,391.
Example:
1 x 1,422,391 = 1,422,391
and
-1 x -1,422,391 = 1,422,391
Notice both answers equal 1,422,391
With that explanation out of the way, let's continue. Next, we take the number 1,422,391 and divide it by 2:
1,422,391 ÷ 2 = 711,195.5
If the quotient is a whole number, then 2 and 711,195.5 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 | 1,422,391 | |
-1 | -1,422,391 |
Now, we try dividing 1,422,391 by 3:
1,422,391 ÷ 3 = 474,130.3333
If the quotient is a whole number, then 3 and 474,130.3333 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 | 1,422,391 | |
-1 | -1,422,391 |
Let's try dividing by 4:
1,422,391 ÷ 4 = 355,597.75
If the quotient is a whole number, then 4 and 355,597.75 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 | 1,422,391 | |
-1 | 1,422,391 |
If you did it right, you will end up with this table:
1 | 37 | 1,039 | 1,369 | 38,443 | 1,422,391 |
-1 | -37 | -1,039 | -1,369 | -38,443 | -1,422,391 |
Here are some more numbers to try:
Try the factor calculator