Q: What are the factor combinations of the number 3,424,135?

 A:
Positive:   1 x 34241355 x 68482711 x 31128513 x 26339555 x 6225765 x 52679143 x 23945715 x 4789
Negative: -1 x -3424135-5 x -684827-11 x -311285-13 x -263395-55 x -62257-65 x -52679-143 x -23945-715 x -4789


How do I find the factor combinations of the number 3,424,135?

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 3,424,135, 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 3,424,135
-1 -3,424,135

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 3,424,135.

Example:
1 x 3,424,135 = 3,424,135
and
-1 x -3,424,135 = 3,424,135
Notice both answers equal 3,424,135

With that explanation out of the way, let's continue. Next, we take the number 3,424,135 and divide it by 2:

3,424,135 ÷ 2 = 1,712,067.5

If the quotient is a whole number, then 2 and 1,712,067.5 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 3,424,135
-1 -3,424,135

Now, we try dividing 3,424,135 by 3:

3,424,135 ÷ 3 = 1,141,378.3333

If the quotient is a whole number, then 3 and 1,141,378.3333 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 3,424,135
-1 -3,424,135

Let's try dividing by 4:

3,424,135 ÷ 4 = 856,033.75

If the quotient is a whole number, then 4 and 856,033.75 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 3,424,135
-1 3,424,135
Keep dividing by the next highest number until you cannot divide anymore.

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

15111355651437154,78923,94552,67962,257263,395311,285684,8273,424,135
-1-5-11-13-55-65-143-715-4,789-23,945-52,679-62,257-263,395-311,285-684,827-3,424,135

More Examples

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