Q: What are the factor combinations of the number 362,645?

 A:
Positive:   1 x 3626455 x 7252929 x 1250541 x 884561 x 5945145 x 2501205 x 1769305 x 1189
Negative: -1 x -362645-5 x -72529-29 x -12505-41 x -8845-61 x -5945-145 x -2501-205 x -1769-305 x -1189


How do I find the factor combinations of the number 362,645?

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 362,645, 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.

1 362,645
-1 -362,645

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 362,645.

Example:
1 x 362,645 = 362,645
and
-1 x -362,645 = 362,645
Notice both answers equal 362,645

With that explanation out of the way, let's continue. Next, we take the number 362,645 and divide it by 2:

362,645 ÷ 2 = 181,322.5

If the quotient is a whole number, then 2 and 181,322.5 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:

1 362,645
-1 -362,645

Now, we try dividing 362,645 by 3:

362,645 ÷ 3 = 120,881.6667

If the quotient is a whole number, then 3 and 120,881.6667 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:

1 362,645
-1 -362,645

Let's try dividing by 4:

362,645 ÷ 4 = 90,661.25

If the quotient is a whole number, then 4 and 90,661.25 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:

1 362,645
-1 362,645
Keep dividing by the next highest number until you cannot divide anymore.

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

152941611452053051,1891,7692,5015,9458,84512,50572,529362,645
-1-5-29-41-61-145-205-305-1,189-1,769-2,501-5,945-8,845-12,505-72,529-362,645

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 362,645:


Ask a Question