Q: What are the factor combinations of the number 350,642,335?

 A:
Positive:   1 x 3506423355 x 7012846729 x 1209111561 x 5748235145 x 2418223305 x 1149647841 x 4169351367 x 2565051769 x 1982154205 x 833876835 x 513018845 x 39643
Negative: -1 x -350642335-5 x -70128467-29 x -12091115-61 x -5748235-145 x -2418223-305 x -1149647-841 x -416935-1367 x -256505-1769 x -198215-4205 x -83387-6835 x -51301-8845 x -39643


How do I find the factor combinations of the number 350,642,335?

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 350,642,335, 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.

1 350,642,335
-1 -350,642,335

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 350,642,335.

Example:
1 x 350,642,335 = 350,642,335
and
-1 x -350,642,335 = 350,642,335
Notice both answers equal 350,642,335

With that explanation out of the way, let's continue. Next, we take the number 350,642,335 and divide it by 2:

350,642,335 ÷ 2 = 175,321,167.5

If the quotient is a whole number, then 2 and 175,321,167.5 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:

1 350,642,335
-1 -350,642,335

Now, we try dividing 350,642,335 by 3:

350,642,335 ÷ 3 = 116,880,778.3333

If the quotient is a whole number, then 3 and 116,880,778.3333 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:

1 350,642,335
-1 -350,642,335

Let's try dividing by 4:

350,642,335 ÷ 4 = 87,660,583.75

If the quotient is a whole number, then 4 and 87,660,583.75 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:

1 350,642,335
-1 350,642,335
Keep dividing by the next highest number until you cannot divide anymore.

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

1529611453058411,3671,7694,2056,8358,84539,64351,30183,387198,215256,505416,9351,149,6472,418,2235,748,23512,091,11570,128,467350,642,335
-1-5-29-61-145-305-841-1,367-1,769-4,205-6,835-8,845-39,643-51,301-83,387-198,215-256,505-416,935-1,149,647-2,418,223-5,748,235-12,091,115-70,128,467-350,642,335

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 350,642,335:


Ask a Question