Q: What are the factor combinations of the number 1,424,915?

 A:
Positive:   1 x 14249155 x 28498329 x 4913531 x 45965145 x 9827155 x 9193317 x 4495899 x 1585
Negative: -1 x -1424915-5 x -284983-29 x -49135-31 x -45965-145 x -9827-155 x -9193-317 x -4495-899 x -1585


How do I find the factor combinations of the number 1,424,915?

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 1,424,915, 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 1,424,915
-1 -1,424,915

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 1,424,915.

Example:
1 x 1,424,915 = 1,424,915
and
-1 x -1,424,915 = 1,424,915
Notice both answers equal 1,424,915

With that explanation out of the way, let's continue. Next, we take the number 1,424,915 and divide it by 2:

1,424,915 ÷ 2 = 712,457.5

If the quotient is a whole number, then 2 and 712,457.5 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 1,424,915
-1 -1,424,915

Now, we try dividing 1,424,915 by 3:

1,424,915 ÷ 3 = 474,971.6667

If the quotient is a whole number, then 3 and 474,971.6667 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 1,424,915
-1 -1,424,915

Let's try dividing by 4:

1,424,915 ÷ 4 = 356,228.75

If the quotient is a whole number, then 4 and 356,228.75 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 1,424,915
-1 1,424,915
Keep dividing by the next highest number until you cannot divide anymore.

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

1529311451553178991,5854,4959,1939,82745,96549,135284,9831,424,915
-1-5-29-31-145-155-317-899-1,585-4,495-9,193-9,827-45,965-49,135-284,983-1,424,915

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