Why are those the prime factors of the number 37,152?
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 37,152
| 37,152 | |||||||||
 | |||||||||
| 2 | 18,576 | ||||||||
| |||||||||
| 2 | 9,288 | ||||||||
| |||||||||
| 2 | 4,644 | ||||||||
| |||||||||
| 2 | 2,322 | ||||||||
| |||||||||
| 2 | 1,161 | ||||||||
| |||||||||
| 3 | 387 | ||||||||
| |||||||||
| 3 | 129 | ||||||||
| |||||||||
| 3 | 43 |
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:
2, 3, 43
We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 43 = 37,152
This can also be written as 25 x 33 x 431 = 37,152
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 37,152 written in scientific notation?
- What is the absolute value of the number 37,152?
- What is the negative version of the number 37,152?
- What is the place value chart for the number 37,152?
- What is the digital root of the number 37,152?
- How many digits is in the number 37,152?
- How is 37,152 written in roman numerals?
Factoring Questions
- What are the factors or divisors of the number 37,152?
- What are the prime factors of the number 37,152?
- What is the total number of factors of the number 37,152?
- What is the total number of prime factors of the number 37,152?
- What is the sum of all factors of the number 37,152 including 37,152?
- What is the sum of all factors of the number 37,152 excluding 37,152?
- What are the factor combinations of the number 37,152?
- What is the prime factorization of the number 37,152?
Calculation Questions
Miscellaneous Questions
- How much data will 37,152 bytes hold in different storage units?
- What is 37,152 in other base number systems?
- How is 37,152 spelled out in other languages or countries?
- How is 37,152 formatted in other languages or countries?
- How is 37,152 formatted as currency in different languages or countries?
- What are the different hash algorithm outputs for 37,152?