Q: What are the factor combinations of the number 160,000,307?

 A:
Positive:   1 x 1600003072521 x 63467
Negative: -1 x -160000307-2521 x -63467


How do I find the factor combinations of the number 160,000,307?

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 160,000,307, 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.

1 160,000,307
-1 -160,000,307

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 160,000,307.

Example:
1 x 160,000,307 = 160,000,307
and
-1 x -160,000,307 = 160,000,307
Notice both answers equal 160,000,307

With that explanation out of the way, let's continue. Next, we take the number 160,000,307 and divide it by 2:

160,000,307 ÷ 2 = 80,000,153.5

If the quotient is a whole number, then 2 and 80,000,153.5 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:

1 160,000,307
-1 -160,000,307

Now, we try dividing 160,000,307 by 3:

160,000,307 ÷ 3 = 53,333,435.6667

If the quotient is a whole number, then 3 and 53,333,435.6667 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:

1 160,000,307
-1 -160,000,307

Let's try dividing by 4:

160,000,307 ÷ 4 = 40,000,076.75

If the quotient is a whole number, then 4 and 40,000,076.75 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:

1 160,000,307
-1 160,000,307
Keep dividing by the next highest number until you cannot divide anymore.

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

12,52163,467160,000,307
-1-2,521-63,467-160,000,307

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 160,000,307:


Ask a Question