Q: What are the factor combinations of the number 457,145?

 A:
Positive:   1 x 4571455 x 9142913 x 3516565 x 7033169 x 2705541 x 845
Negative: -1 x -457145-5 x -91429-13 x -35165-65 x -7033-169 x -2705-541 x -845


How do I find the factor combinations of the number 457,145?

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 457,145, 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.

1 457,145
-1 -457,145

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 457,145.

Example:
1 x 457,145 = 457,145
and
-1 x -457,145 = 457,145
Notice both answers equal 457,145

With that explanation out of the way, let's continue. Next, we take the number 457,145 and divide it by 2:

457,145 ÷ 2 = 228,572.5

If the quotient is a whole number, then 2 and 228,572.5 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:

1 457,145
-1 -457,145

Now, we try dividing 457,145 by 3:

457,145 ÷ 3 = 152,381.6667

If the quotient is a whole number, then 3 and 152,381.6667 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:

1 457,145
-1 -457,145

Let's try dividing by 4:

457,145 ÷ 4 = 114,286.25

If the quotient is a whole number, then 4 and 114,286.25 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:

1 457,145
-1 457,145
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651695418452,7057,03335,16591,429457,145
-1-5-13-65-169-541-845-2,705-7,033-35,165-91,429-457,145

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 457,145:


Ask a Question