Q: What are the factor combinations of the number 153,001,505?

 A:
Positive:   1 x 1530015055 x 30600301151 x 1013255191 x 801055755 x 202651955 x 1602111061 x 1442055305 x 28841
Negative: -1 x -153001505-5 x -30600301-151 x -1013255-191 x -801055-755 x -202651-955 x -160211-1061 x -144205-5305 x -28841


How do I find the factor combinations of the number 153,001,505?

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 153,001,505, 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.

1 153,001,505
-1 -153,001,505

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 153,001,505.

Example:
1 x 153,001,505 = 153,001,505
and
-1 x -153,001,505 = 153,001,505
Notice both answers equal 153,001,505

With that explanation out of the way, let's continue. Next, we take the number 153,001,505 and divide it by 2:

153,001,505 ÷ 2 = 76,500,752.5

If the quotient is a whole number, then 2 and 76,500,752.5 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:

1 153,001,505
-1 -153,001,505

Now, we try dividing 153,001,505 by 3:

153,001,505 ÷ 3 = 51,000,501.6667

If the quotient is a whole number, then 3 and 51,000,501.6667 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:

1 153,001,505
-1 -153,001,505

Let's try dividing by 4:

153,001,505 ÷ 4 = 38,250,376.25

If the quotient is a whole number, then 4 and 38,250,376.25 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:

1 153,001,505
-1 153,001,505
Keep dividing by the next highest number until you cannot divide anymore.

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

151511917559551,0615,30528,841144,205160,211202,651801,0551,013,25530,600,301153,001,505
-1-5-151-191-755-955-1,061-5,305-28,841-144,205-160,211-202,651-801,055-1,013,255-30,600,301-153,001,505

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 153,001,505:


Ask a Question