Prime Factorization of 1500
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What is the Prime Factorization of 1500?
or
Explanation of number 1500 Prime Factorization
Prime Factorization of 1500 it is expressing 1500 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1500.
Since number 1500 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 1500, we have to iteratively divide 1500 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 1500:
The smallest Prime Number which can divide 1500 without a remainder is 2. So the first calculation step would look like:
1500 ÷ 2 = 750
Now we repeat this action until the result equals 1:
750 ÷ 2 = 375
375 ÷ 3 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
Now we have all the Prime Factors for number 1500. It is: 2, 2, 3, 5, 5, 5
Or you may also write it in exponential form: 22 × 3 × 53
Prime Factor Tree of 1500
We may also express the prime factorization of 1500 as a Factor Tree:
Related Calculations
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 |
---|---|
1485 | 33 × 5 × 11 |
1486 | 2, 743 |
1487 | 1487 |
1488 | 24 × 3 × 31 |
1489 | 1489 |
1490 | 2, 5, 149 |
1491 | 3, 7, 71 |
1492 | 22 × 373 |
1493 | 1493 |
1494 | 2 × 32 × 83 |
1495 | 5, 13, 23 |
1496 | 23 × 11 × 17 |
1497 | 3, 499 |
1498 | 2, 7, 107 |
1499 | 1499 |
1500 | 22 × 3 × 53 |
1501 | 19, 79 |
1502 | 2, 751 |
1503 | 32 × 167 |
1504 | 25 × 47 |
1505 | 5, 7, 43 |
1506 | 2, 3, 251 |
1507 | 11, 137 |
1508 | 22 × 13 × 29 |
1509 | 3, 503 |
1510 | 2, 5, 151 |
1511 | 1511 |
1512 | 23 × 33 × 7 |
1513 | 17, 89 |
1514 | 2, 757 |
FAQ
What is the Prime Factorization of 1500?
How many prime factors does 1500 have?
What is the Prime Factorization of 1500 in exponential form?
See Also
- Prime factors of 1375
- Prime factors of 1386
- Prime factors of 1395
- Prime factors of 1400
- Prime factors of 1440
- Prime factors of 1445
- Prime factors of 1450
- Prime factors of 1470
- Prime factors of 1485
- Prime factors of 1495
- Prime factors of 1520
- Prime factors of 1540
- Prime factors of 1550
- Prime factors of 1560
- Prime factors of 1575
- Prime factors of 1590
- Prime factors of 1600
- Prime factors of 1620
- Prime factors of 1640
- Prime factors of 1650
- Простые множители числа 1500