Q: What are the factor combinations of the number 143,401,235?

 A:
Positive:   1 x 1434012355 x 28680247103 x 1392245307 x 467105515 x 278449907 x 1581051535 x 934214535 x 31621
Negative: -1 x -143401235-5 x -28680247-103 x -1392245-307 x -467105-515 x -278449-907 x -158105-1535 x -93421-4535 x -31621


How do I find the factor combinations of the number 143,401,235?

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 143,401,235, 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.

1 143,401,235
-1 -143,401,235

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 143,401,235.

Example:
1 x 143,401,235 = 143,401,235
and
-1 x -143,401,235 = 143,401,235
Notice both answers equal 143,401,235

With that explanation out of the way, let's continue. Next, we take the number 143,401,235 and divide it by 2:

143,401,235 ÷ 2 = 71,700,617.5

If the quotient is a whole number, then 2 and 71,700,617.5 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:

1 143,401,235
-1 -143,401,235

Now, we try dividing 143,401,235 by 3:

143,401,235 ÷ 3 = 47,800,411.6667

If the quotient is a whole number, then 3 and 47,800,411.6667 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:

1 143,401,235
-1 -143,401,235

Let's try dividing by 4:

143,401,235 ÷ 4 = 35,850,308.75

If the quotient is a whole number, then 4 and 35,850,308.75 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:

1 143,401,235
-1 143,401,235
Keep dividing by the next highest number until you cannot divide anymore.

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

151033075159071,5354,53531,62193,421158,105278,449467,1051,392,24528,680,247143,401,235
-1-5-103-307-515-907-1,535-4,535-31,621-93,421-158,105-278,449-467,105-1,392,245-28,680,247-143,401,235

More Examples

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