Q: What are the factor combinations of the number 351,601,855?

 A:
Positive:   1 x 3516018555 x 7032037111 x 3196380541 x 857565555 x 6392761205 x 1715131451 x 7796052255 x 155921
Negative: -1 x -351601855-5 x -70320371-11 x -31963805-41 x -8575655-55 x -6392761-205 x -1715131-451 x -779605-2255 x -155921


How do I find the factor combinations of the number 351,601,855?

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 351,601,855, 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.

1 351,601,855
-1 -351,601,855

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 351,601,855.

Example:
1 x 351,601,855 = 351,601,855
and
-1 x -351,601,855 = 351,601,855
Notice both answers equal 351,601,855

With that explanation out of the way, let's continue. Next, we take the number 351,601,855 and divide it by 2:

351,601,855 ÷ 2 = 175,800,927.5

If the quotient is a whole number, then 2 and 175,800,927.5 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:

1 351,601,855
-1 -351,601,855

Now, we try dividing 351,601,855 by 3:

351,601,855 ÷ 3 = 117,200,618.3333

If the quotient is a whole number, then 3 and 117,200,618.3333 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:

1 351,601,855
-1 -351,601,855

Let's try dividing by 4:

351,601,855 ÷ 4 = 87,900,463.75

If the quotient is a whole number, then 4 and 87,900,463.75 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:

1 351,601,855
-1 351,601,855
Keep dividing by the next highest number until you cannot divide anymore.

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

151141552054512,255155,921779,6051,715,1316,392,7618,575,65531,963,80570,320,371351,601,855
-1-5-11-41-55-205-451-2,255-155,921-779,605-1,715,131-6,392,761-8,575,655-31,963,805-70,320,371-351,601,855

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 351,601,855:


Ask a Question