Q: What are the factor combinations of the number 352,484,755?

 A:
Positive:   1 x 3524847555 x 704969517 x 5035496535 x 1007099337 x 9526615185 x 1905323259 x 13609451295 x 272189
Negative: -1 x -352484755-5 x -70496951-7 x -50354965-35 x -10070993-37 x -9526615-185 x -1905323-259 x -1360945-1295 x -272189


How do I find the factor combinations of the number 352,484,755?

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 352,484,755, 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.

1 352,484,755
-1 -352,484,755

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 352,484,755.

Example:
1 x 352,484,755 = 352,484,755
and
-1 x -352,484,755 = 352,484,755
Notice both answers equal 352,484,755

With that explanation out of the way, let's continue. Next, we take the number 352,484,755 and divide it by 2:

352,484,755 ÷ 2 = 176,242,377.5

If the quotient is a whole number, then 2 and 176,242,377.5 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:

1 352,484,755
-1 -352,484,755

Now, we try dividing 352,484,755 by 3:

352,484,755 ÷ 3 = 117,494,918.3333

If the quotient is a whole number, then 3 and 117,494,918.3333 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:

1 352,484,755
-1 -352,484,755

Let's try dividing by 4:

352,484,755 ÷ 4 = 88,121,188.75

If the quotient is a whole number, then 4 and 88,121,188.75 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:

1 352,484,755
-1 352,484,755
Keep dividing by the next highest number until you cannot divide anymore.

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

15735371852591,295272,1891,360,9451,905,3239,526,61510,070,99350,354,96570,496,951352,484,755
-1-5-7-35-37-185-259-1,295-272,189-1,360,945-1,905,323-9,526,615-10,070,993-50,354,965-70,496,951-352,484,755

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 352,484,755:


Ask a Question