Q: What are the factor combinations of the number 353,183,825?

 A:
Positive:   1 x 3531838255 x 7063676525 x 14127353127 x 2780975173 x 2041525635 x 556195643 x 549275865 x 4083053175 x 1112393215 x 1098554325 x 8166116075 x 21971
Negative: -1 x -353183825-5 x -70636765-25 x -14127353-127 x -2780975-173 x -2041525-635 x -556195-643 x -549275-865 x -408305-3175 x -111239-3215 x -109855-4325 x -81661-16075 x -21971


How do I find the factor combinations of the number 353,183,825?

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 353,183,825, 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.

1 353,183,825
-1 -353,183,825

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 353,183,825.

Example:
1 x 353,183,825 = 353,183,825
and
-1 x -353,183,825 = 353,183,825
Notice both answers equal 353,183,825

With that explanation out of the way, let's continue. Next, we take the number 353,183,825 and divide it by 2:

353,183,825 ÷ 2 = 176,591,912.5

If the quotient is a whole number, then 2 and 176,591,912.5 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:

1 353,183,825
-1 -353,183,825

Now, we try dividing 353,183,825 by 3:

353,183,825 ÷ 3 = 117,727,941.6667

If the quotient is a whole number, then 3 and 117,727,941.6667 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:

1 353,183,825
-1 -353,183,825

Let's try dividing by 4:

353,183,825 ÷ 4 = 88,295,956.25

If the quotient is a whole number, then 4 and 88,295,956.25 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:

1 353,183,825
-1 353,183,825
Keep dividing by the next highest number until you cannot divide anymore.

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

15251271736356438653,1753,2154,32516,07521,97181,661109,855111,239408,305549,275556,1952,041,5252,780,97514,127,35370,636,765353,183,825
-1-5-25-127-173-635-643-865-3,175-3,215-4,325-16,075-21,971-81,661-109,855-111,239-408,305-549,275-556,195-2,041,525-2,780,975-14,127,353-70,636,765-353,183,825

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 353,183,825:


Ask a Question