Q: What are the factor combinations of the number 4,342,105?

 A:
Positive:   1 x 43421055 x 86842141 x 10590559 x 73595205 x 21181295 x 14719359 x 120951795 x 2419
Negative: -1 x -4342105-5 x -868421-41 x -105905-59 x -73595-205 x -21181-295 x -14719-359 x -12095-1795 x -2419


How do I find the factor combinations of the number 4,342,105?

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 4,342,105, 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 4,342,105
-1 -4,342,105

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 4,342,105.

Example:
1 x 4,342,105 = 4,342,105
and
-1 x -4,342,105 = 4,342,105
Notice both answers equal 4,342,105

With that explanation out of the way, let's continue. Next, we take the number 4,342,105 and divide it by 2:

4,342,105 ÷ 2 = 2,171,052.5

If the quotient is a whole number, then 2 and 2,171,052.5 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 4,342,105
-1 -4,342,105

Now, we try dividing 4,342,105 by 3:

4,342,105 ÷ 3 = 1,447,368.3333

If the quotient is a whole number, then 3 and 1,447,368.3333 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 4,342,105
-1 -4,342,105

Let's try dividing by 4:

4,342,105 ÷ 4 = 1,085,526.25

If the quotient is a whole number, then 4 and 1,085,526.25 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 4,342,105
-1 4,342,105
Keep dividing by the next highest number until you cannot divide anymore.

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

1541592052953591,7952,41912,09514,71921,18173,595105,905868,4214,342,105
-1-5-41-59-205-295-359-1,795-2,419-12,095-14,719-21,181-73,595-105,905-868,421-4,342,105

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 4,342,105:


Ask a Question