Q: What are the factor combinations of the number 160,650,749?

 A:
Positive:   1 x 1606507497 x 2295010729 x 5539681203 x 791383613 x 2620731291 x 1244394291 x 374399037 x 17777
Negative: -1 x -160650749-7 x -22950107-29 x -5539681-203 x -791383-613 x -262073-1291 x -124439-4291 x -37439-9037 x -17777


How do I find the factor combinations of the number 160,650,749?

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 160,650,749, 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.

1 160,650,749
-1 -160,650,749

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 160,650,749.

Example:
1 x 160,650,749 = 160,650,749
and
-1 x -160,650,749 = 160,650,749
Notice both answers equal 160,650,749

With that explanation out of the way, let's continue. Next, we take the number 160,650,749 and divide it by 2:

160,650,749 ÷ 2 = 80,325,374.5

If the quotient is a whole number, then 2 and 80,325,374.5 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:

1 160,650,749
-1 -160,650,749

Now, we try dividing 160,650,749 by 3:

160,650,749 ÷ 3 = 53,550,249.6667

If the quotient is a whole number, then 3 and 53,550,249.6667 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:

1 160,650,749
-1 -160,650,749

Let's try dividing by 4:

160,650,749 ÷ 4 = 40,162,687.25

If the quotient is a whole number, then 4 and 40,162,687.25 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:

1 160,650,749
-1 160,650,749
Keep dividing by the next highest number until you cannot divide anymore.

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

17292036131,2914,2919,03717,77737,439124,439262,073791,3835,539,68122,950,107160,650,749
-1-7-29-203-613-1,291-4,291-9,037-17,777-37,439-124,439-262,073-791,383-5,539,681-22,950,107-160,650,749

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 160,650,749:


Ask a Question