Why are those the prime factors of the number 309,825?
Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.
Factor Tree for the number 309,825
| 309,825 | |||||||||
 | |||||||||
| 3 | 103,275 | ||||||||
| |||||||||
| 3 | 34,425 | ||||||||
| |||||||||
| 3 | 11,475 | ||||||||
| |||||||||
| 3 | 3,825 | ||||||||
| |||||||||
| 3 | 1,275 | ||||||||
| |||||||||
| 3 | 425 | ||||||||
| |||||||||
| 5 | 85 | ||||||||
| |||||||||
| 5 | 17 |
The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:
3, 5, 17
We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 17 = 309,825
This can also be written as 36 x 52 x 171 = 309,825
If you would like to know more, or need additional explanation, please review our prime factorization explanation.
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General Questions
- How is the number 309,825 written in scientific notation?
- What is the absolute value of the number 309,825?
- What is the negative version of the number 309,825?
- What is the place value chart for the number 309,825?
- What is the digital root of the number 309,825?
- How many digits is in the number 309,825?
- How is 309,825 written in roman numerals?
Factoring Questions
- What are the factors or divisors of the number 309,825?
- What are the prime factors of the number 309,825?
- What is the total number of factors of the number 309,825?
- What is the total number of prime factors of the number 309,825?
- What is the sum of all factors of the number 309,825 including 309,825?
- What is the sum of all factors of the number 309,825 excluding 309,825?
- What are the factor combinations of the number 309,825?
- What is the prime factorization of the number 309,825?
Calculation Questions
Miscellaneous Questions
- How much data will 309,825 bytes hold in different storage units?
- What is 309,825 in other base number systems?
- How is 309,825 spelled out in other languages or countries?
- How is 309,825 formatted in other languages or countries?
- How is 309,825 formatted as currency in different languages or countries?
- What are the different hash algorithm outputs for 309,825?