Q: What are the factor combinations of the number 1,342,145?

 A:
Positive:   1 x 13421455 x 2684297 x 19173531 x 4329535 x 38347155 x 8659217 x 61851085 x 1237
Negative: -1 x -1342145-5 x -268429-7 x -191735-31 x -43295-35 x -38347-155 x -8659-217 x -6185-1085 x -1237


How do I find the factor combinations of the number 1,342,145?

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 1,342,145, 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 1,342,145
-1 -1,342,145

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 1,342,145.

Example:
1 x 1,342,145 = 1,342,145
and
-1 x -1,342,145 = 1,342,145
Notice both answers equal 1,342,145

With that explanation out of the way, let's continue. Next, we take the number 1,342,145 and divide it by 2:

1,342,145 ÷ 2 = 671,072.5

If the quotient is a whole number, then 2 and 671,072.5 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 1,342,145
-1 -1,342,145

Now, we try dividing 1,342,145 by 3:

1,342,145 ÷ 3 = 447,381.6667

If the quotient is a whole number, then 3 and 447,381.6667 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 1,342,145
-1 -1,342,145

Let's try dividing by 4:

1,342,145 ÷ 4 = 335,536.25

If the quotient is a whole number, then 4 and 335,536.25 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 1,342,145
-1 1,342,145
Keep dividing by the next highest number until you cannot divide anymore.

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

15731351552171,0851,2376,1858,65938,34743,295191,735268,4291,342,145
-1-5-7-31-35-155-217-1,085-1,237-6,185-8,659-38,347-43,295-191,735-268,429-1,342,145

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,342,145:


Ask a Question