Q: What are the factor combinations of the number 428,820?

 A:
Positive:   1 x 4288202 x 2144103 x 1429404 x 1072055 x 857646 x 714707 x 6126010 x 4288212 x 3573514 x 3063015 x 2858820 x 2144121 x 2042028 x 1531530 x 1429435 x 1225242 x 1021060 x 714770 x 612684 x 5105105 x 4084140 x 3063210 x 2042420 x 1021
Negative: -1 x -428820-2 x -214410-3 x -142940-4 x -107205-5 x -85764-6 x -71470-7 x -61260-10 x -42882-12 x -35735-14 x -30630-15 x -28588-20 x -21441-21 x -20420-28 x -15315-30 x -14294-35 x -12252-42 x -10210-60 x -7147-70 x -6126-84 x -5105-105 x -4084-140 x -3063-210 x -2042-420 x -1021


How do I find the factor combinations of the number 428,820?

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 428,820, 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.

1 428,820
-1 -428,820

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 428,820.

Example:
1 x 428,820 = 428,820
and
-1 x -428,820 = 428,820
Notice both answers equal 428,820

With that explanation out of the way, let's continue. Next, we take the number 428,820 and divide it by 2:

428,820 ÷ 2 = 214,410

If the quotient is a whole number, then 2 and 214,410 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 214,410 428,820
-1 -2 -214,410 -428,820

Now, we try dividing 428,820 by 3:

428,820 ÷ 3 = 142,940

If the quotient is a whole number, then 3 and 142,940 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 142,940 214,410 428,820
-1 -2 -3 -142,940 -214,410 -428,820

Let's try dividing by 4:

428,820 ÷ 4 = 107,205

If the quotient is a whole number, then 4 and 107,205 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 107,205 142,940 214,410 428,820
-1 -2 -3 -4 -107,205 -142,940 -214,410 428,820
Keep dividing by the next highest number until you cannot divide anymore.

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

1234567101214152021283035426070841051402104201,0212,0423,0634,0845,1056,1267,14710,21012,25214,29415,31520,42021,44128,58830,63035,73542,88261,26071,47085,764107,205142,940214,410428,820
-1-2-3-4-5-6-7-10-12-14-15-20-21-28-30-35-42-60-70-84-105-140-210-420-1,021-2,042-3,063-4,084-5,105-6,126-7,147-10,210-12,252-14,294-15,315-20,420-21,441-28,588-30,630-35,735-42,882-61,260-71,470-85,764-107,205-142,940-214,410-428,820

More Examples

Here are some more numbers to try:

428,818428,819428,821428,822
Try the factor calculator

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