Q: What are the factor combinations of the number 3,428,495?

 A:
Positive:   1 x 34284955 x 6856997 x 48978523 x 14906535 x 97957115 x 29813161 x 21295805 x 4259
Negative: -1 x -3428495-5 x -685699-7 x -489785-23 x -149065-35 x -97957-115 x -29813-161 x -21295-805 x -4259


How do I find the factor combinations of the number 3,428,495?

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 3,428,495, 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 3,428,495
-1 -3,428,495

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 3,428,495.

Example:
1 x 3,428,495 = 3,428,495
and
-1 x -3,428,495 = 3,428,495
Notice both answers equal 3,428,495

With that explanation out of the way, let's continue. Next, we take the number 3,428,495 and divide it by 2:

3,428,495 ÷ 2 = 1,714,247.5

If the quotient is a whole number, then 2 and 1,714,247.5 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 3,428,495
-1 -3,428,495

Now, we try dividing 3,428,495 by 3:

3,428,495 ÷ 3 = 1,142,831.6667

If the quotient is a whole number, then 3 and 1,142,831.6667 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 3,428,495
-1 -3,428,495

Let's try dividing by 4:

3,428,495 ÷ 4 = 857,123.75

If the quotient is a whole number, then 4 and 857,123.75 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 3,428,495
-1 3,428,495
Keep dividing by the next highest number until you cannot divide anymore.

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

15723351151618054,25921,29529,81397,957149,065489,785685,6993,428,495
-1-5-7-23-35-115-161-805-4,259-21,295-29,813-97,957-149,065-489,785-685,699-3,428,495

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 3,428,495:


Ask a Question