Q: What are the factor combinations of the number 362,044,355?

 A:
Positive:   1 x 3620443555 x 7240887159 x 6136345157 x 2306015295 x 1227269785 x 4612037817 x 463159263 x 39085
Negative: -1 x -362044355-5 x -72408871-59 x -6136345-157 x -2306015-295 x -1227269-785 x -461203-7817 x -46315-9263 x -39085


How do I find the factor combinations of the number 362,044,355?

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 362,044,355, 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.

1 362,044,355
-1 -362,044,355

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 362,044,355.

Example:
1 x 362,044,355 = 362,044,355
and
-1 x -362,044,355 = 362,044,355
Notice both answers equal 362,044,355

With that explanation out of the way, let's continue. Next, we take the number 362,044,355 and divide it by 2:

362,044,355 ÷ 2 = 181,022,177.5

If the quotient is a whole number, then 2 and 181,022,177.5 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:

1 362,044,355
-1 -362,044,355

Now, we try dividing 362,044,355 by 3:

362,044,355 ÷ 3 = 120,681,451.6667

If the quotient is a whole number, then 3 and 120,681,451.6667 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:

1 362,044,355
-1 -362,044,355

Let's try dividing by 4:

362,044,355 ÷ 4 = 90,511,088.75

If the quotient is a whole number, then 4 and 90,511,088.75 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:

1 362,044,355
-1 362,044,355
Keep dividing by the next highest number until you cannot divide anymore.

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

15591572957857,8179,26339,08546,315461,2031,227,2692,306,0156,136,34572,408,871362,044,355
-1-5-59-157-295-785-7,817-9,263-39,085-46,315-461,203-1,227,269-2,306,015-6,136,345-72,408,871-362,044,355

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 362,044,355:


Ask a Question