Prime Factorization of 480
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What is the Prime Factorization of 480?
or
Explanation of number 480 Prime Factorization
Prime Factorization of 480 it is expressing 480 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 480.
Since number 480 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 480, we have to iteratively divide 480 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 480:
The smallest Prime Number which can divide 480 without a remainder is 2. So the first calculation step would look like:
480 ÷ 2 = 240
Now we repeat this action until the result equals 1:
240 ÷ 2 = 120
120 ÷ 2 = 60
60 ÷ 2 = 30
30 ÷ 2 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1
Now we have all the Prime Factors for number 480. It is: 2, 2, 2, 2, 2, 3, 5
Or you may also write it in exponential form: 25 × 3 × 5
Prime Factor Tree of 480
We may also express the prime factorization of 480 as a Factor Tree:
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See Also
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Is number a Prime - Find out whether a given number is Prime or not
- Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself
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Prime Factorization Table
Number | Prime Factors |
---|---|
465 | 3, 5, 31 |
466 | 2, 233 |
467 | 467 |
468 | 22 × 32 × 13 |
469 | 7, 67 |
470 | 2, 5, 47 |
471 | 3, 157 |
472 | 23 × 59 |
473 | 11, 43 |
474 | 2, 3, 79 |
475 | 52 × 19 |
476 | 22 × 7 × 17 |
477 | 32 × 53 |
478 | 2, 239 |
479 | 479 |
480 | 25 × 3 × 5 |
481 | 13, 37 |
482 | 2, 241 |
483 | 3, 7, 23 |
484 | 22 × 112 |
485 | 5, 97 |
486 | 2 × 35 |
487 | 487 |
488 | 23 × 61 |
489 | 3, 163 |
490 | 2 × 5 × 72 |
491 | 491 |
492 | 22 × 3 × 41 |
493 | 17, 29 |
494 | 2, 13, 19 |
FAQ
What is the Prime Factorization of 480?
How many prime factors does 480 have?
What is the Prime Factorization of 480 in exponential form?
See Also
- Prime factors of 467
- Prime factors of 468
- Prime factors of 469
- Prime factors of 470
- Prime factors of 473
- Prime factors of 475
- Prime factors of 476
- Prime factors of 477
- Prime factors of 478
- Prime factors of 479
- Prime factors of 481
- Prime factors of 482
- Prime factors of 483
- Prime factors of 484
- Prime factors of 485
- Prime factors of 486
- Prime factors of 487
- Prime factors of 488
- Prime factors of 489
- Prime factors of 490
- Простые множители числа 480