Prime Factorization of 1480
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What is the Prime Factorization of 1480?
or
Explanation of number 1480 Prime Factorization
Prime Factorization of 1480 it is expressing 1480 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1480.
Since number 1480 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 1480, we have to iteratively divide 1480 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 1480:
The smallest Prime Number which can divide 1480 without a remainder is 2. So the first calculation step would look like:
1480 ÷ 2 = 740
Now we repeat this action until the result equals 1:
740 ÷ 2 = 370
370 ÷ 2 = 185
185 ÷ 5 = 37
37 ÷ 37 = 1
Now we have all the Prime Factors for number 1480. It is: 2, 2, 2, 5, 37
Or you may also write it in exponential form: 23 × 5 × 37
Prime Factor Tree of 1480
We may also express the prime factorization of 1480 as a Factor Tree:
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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 |
---|---|
1465 | 5, 293 |
1466 | 2, 733 |
1467 | 32 × 163 |
1468 | 22 × 367 |
1469 | 13, 113 |
1470 | 2 × 3 × 5 × 72 |
1471 | 1471 |
1472 | 26 × 23 |
1473 | 3, 491 |
1474 | 2, 11, 67 |
1475 | 52 × 59 |
1476 | 22 × 32 × 41 |
1477 | 7, 211 |
1478 | 2, 739 |
1479 | 3, 17, 29 |
1480 | 23 × 5 × 37 |
1481 | 1481 |
1482 | 2, 3, 13, 19 |
1483 | 1483 |
1484 | 22 × 7 × 53 |
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 |
FAQ
What is the Prime Factorization of 1480?
How many prime factors does 1480 have?
What is the Prime Factorization of 1480 in exponential form?
See Also
- Prime factors of 1365
- Prime factors of 1375
- Prime factors of 1386
- Prime factors of 1395
- Prime factors of 1400
- Prime factors of 1430
- 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 1500
- Prime factors of 1515
- Prime factors of 1520
- Prime factors of 1525
- Prime factors of 1540
- Prime factors of 1550
- Prime factors of 1560
- Prime factors of 1575
- Простые множители числа 1480