Q: What are the factor combinations of the number 351,435,139?

 A:
Positive:   1 x 35143513911 x 3194864937 x 9498247407 x 863477587 x 5986971471 x 2389096457 x 5442716181 x 21719
Negative: -1 x -351435139-11 x -31948649-37 x -9498247-407 x -863477-587 x -598697-1471 x -238909-6457 x -54427-16181 x -21719


How do I find the factor combinations of the number 351,435,139?

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 351,435,139, 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.

1 351,435,139
-1 -351,435,139

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 351,435,139.

Example:
1 x 351,435,139 = 351,435,139
and
-1 x -351,435,139 = 351,435,139
Notice both answers equal 351,435,139

With that explanation out of the way, let's continue. Next, we take the number 351,435,139 and divide it by 2:

351,435,139 ÷ 2 = 175,717,569.5

If the quotient is a whole number, then 2 and 175,717,569.5 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:

1 351,435,139
-1 -351,435,139

Now, we try dividing 351,435,139 by 3:

351,435,139 ÷ 3 = 117,145,046.3333

If the quotient is a whole number, then 3 and 117,145,046.3333 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:

1 351,435,139
-1 -351,435,139

Let's try dividing by 4:

351,435,139 ÷ 4 = 87,858,784.75

If the quotient is a whole number, then 4 and 87,858,784.75 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:

1 351,435,139
-1 351,435,139
Keep dividing by the next highest number until you cannot divide anymore.

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

111374075871,4716,45716,18121,71954,427238,909598,697863,4779,498,24731,948,649351,435,139
-1-11-37-407-587-1,471-6,457-16,181-21,719-54,427-238,909-598,697-863,477-9,498,247-31,948,649-351,435,139

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 351,435,139:


Ask a Question