Q: What are the factor combinations of the number 160,611,505?

 A:
Positive:   1 x 1606115055 x 32122301103 x 1559335515 x 311867
Negative: -1 x -160611505-5 x -32122301-103 x -1559335-515 x -311867


How do I find the factor combinations of the number 160,611,505?

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 160,611,505, 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.

1 160,611,505
-1 -160,611,505

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 160,611,505.

Example:
1 x 160,611,505 = 160,611,505
and
-1 x -160,611,505 = 160,611,505
Notice both answers equal 160,611,505

With that explanation out of the way, let's continue. Next, we take the number 160,611,505 and divide it by 2:

160,611,505 ÷ 2 = 80,305,752.5

If the quotient is a whole number, then 2 and 80,305,752.5 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:

1 160,611,505
-1 -160,611,505

Now, we try dividing 160,611,505 by 3:

160,611,505 ÷ 3 = 53,537,168.3333

If the quotient is a whole number, then 3 and 53,537,168.3333 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:

1 160,611,505
-1 -160,611,505

Let's try dividing by 4:

160,611,505 ÷ 4 = 40,152,876.25

If the quotient is a whole number, then 4 and 40,152,876.25 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:

1 160,611,505
-1 160,611,505
Keep dividing by the next highest number until you cannot divide anymore.

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

15103515311,8671,559,33532,122,301160,611,505
-1-5-103-515-311,867-1,559,335-32,122,301-160,611,505

More Examples

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