Q: What are the factor combinations of the number 1,428,323?

 A:
Positive:   1 x 142832313 x 10987117 x 8401923 x 62101221 x 6463281 x 5083299 x 4777391 x 3653
Negative: -1 x -1428323-13 x -109871-17 x -84019-23 x -62101-221 x -6463-281 x -5083-299 x -4777-391 x -3653


How do I find the factor combinations of the number 1,428,323?

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 1,428,323, 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 1,428,323
-1 -1,428,323

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 1,428,323.

Example:
1 x 1,428,323 = 1,428,323
and
-1 x -1,428,323 = 1,428,323
Notice both answers equal 1,428,323

With that explanation out of the way, let's continue. Next, we take the number 1,428,323 and divide it by 2:

1,428,323 ÷ 2 = 714,161.5

If the quotient is a whole number, then 2 and 714,161.5 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 1,428,323
-1 -1,428,323

Now, we try dividing 1,428,323 by 3:

1,428,323 ÷ 3 = 476,107.6667

If the quotient is a whole number, then 3 and 476,107.6667 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 1,428,323
-1 -1,428,323

Let's try dividing by 4:

1,428,323 ÷ 4 = 357,080.75

If the quotient is a whole number, then 4 and 357,080.75 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 1,428,323
-1 1,428,323
Keep dividing by the next highest number until you cannot divide anymore.

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

11317232212812993913,6534,7775,0836,46362,10184,019109,8711,428,323
-1-13-17-23-221-281-299-391-3,653-4,777-5,083-6,463-62,101-84,019-109,871-1,428,323

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,428,323:


Ask a Question