Q: What are the factor combinations of the number 146,049,125?

 A:
Positive:   1 x 1460491255 x 2920982517 x 859112525 x 584196585 x 1718225125 x 1168393425 x 3436452125 x 68729
Negative: -1 x -146049125-5 x -29209825-17 x -8591125-25 x -5841965-85 x -1718225-125 x -1168393-425 x -343645-2125 x -68729


How do I find the factor combinations of the number 146,049,125?

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 146,049,125, 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.

1 146,049,125
-1 -146,049,125

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 146,049,125.

Example:
1 x 146,049,125 = 146,049,125
and
-1 x -146,049,125 = 146,049,125
Notice both answers equal 146,049,125

With that explanation out of the way, let's continue. Next, we take the number 146,049,125 and divide it by 2:

146,049,125 ÷ 2 = 73,024,562.5

If the quotient is a whole number, then 2 and 73,024,562.5 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:

1 146,049,125
-1 -146,049,125

Now, we try dividing 146,049,125 by 3:

146,049,125 ÷ 3 = 48,683,041.6667

If the quotient is a whole number, then 3 and 48,683,041.6667 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:

1 146,049,125
-1 -146,049,125

Let's try dividing by 4:

146,049,125 ÷ 4 = 36,512,281.25

If the quotient is a whole number, then 4 and 36,512,281.25 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:

1 146,049,125
-1 146,049,125
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851254252,12568,729343,6451,168,3931,718,2255,841,9658,591,12529,209,825146,049,125
-1-5-17-25-85-125-425-2,125-68,729-343,645-1,168,393-1,718,225-5,841,965-8,591,125-29,209,825-146,049,125

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 146,049,125:


Ask a Question