Q: What are the factor combinations of the number 152,667,307?

 A:
Positive:   1 x 15266730713 x 1174363923 x 663770989 x 1715363299 x 5105931157 x 1319512047 x 745815737 x 26611
Negative: -1 x -152667307-13 x -11743639-23 x -6637709-89 x -1715363-299 x -510593-1157 x -131951-2047 x -74581-5737 x -26611


How do I find the factor combinations of the number 152,667,307?

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 152,667,307, 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.

1 152,667,307
-1 -152,667,307

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 152,667,307.

Example:
1 x 152,667,307 = 152,667,307
and
-1 x -152,667,307 = 152,667,307
Notice both answers equal 152,667,307

With that explanation out of the way, let's continue. Next, we take the number 152,667,307 and divide it by 2:

152,667,307 ÷ 2 = 76,333,653.5

If the quotient is a whole number, then 2 and 76,333,653.5 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:

1 152,667,307
-1 -152,667,307

Now, we try dividing 152,667,307 by 3:

152,667,307 ÷ 3 = 50,889,102.3333

If the quotient is a whole number, then 3 and 50,889,102.3333 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:

1 152,667,307
-1 -152,667,307

Let's try dividing by 4:

152,667,307 ÷ 4 = 38,166,826.75

If the quotient is a whole number, then 4 and 38,166,826.75 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:

1 152,667,307
-1 152,667,307
Keep dividing by the next highest number until you cannot divide anymore.

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

11323892991,1572,0475,73726,61174,581131,951510,5931,715,3636,637,70911,743,639152,667,307
-1-13-23-89-299-1,157-2,047-5,737-26,611-74,581-131,951-510,593-1,715,363-6,637,709-11,743,639-152,667,307

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 152,667,307:


Ask a Question