Prime Factorization of 7020
What is the Prime Factorization of 7020?
or
Explanation of number 7020 Prime Factorization
Prime Factorization of 7020 it is expressing 7020 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 7020.
Since number 7020 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 7020, we have to iteratively divide 7020 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 7020:
The smallest Prime Number which can divide 7020 without a remainder is 2. So the first calculation step would look like:
7020 ÷ 2 = 3510
Now we repeat this action until the result equals 1:
3510 ÷ 2 = 1755
1755 ÷ 3 = 585
585 ÷ 3 = 195
195 ÷ 3 = 65
65 ÷ 5 = 13
13 ÷ 13 = 1
Now we have all the Prime Factors for number 7020. It is: 2, 2, 3, 3, 3, 5, 13
Or you may also write it in exponential form: 22 × 33 × 5 × 13
Prime Factor Tree of 7020
We may also express the prime factorization of 7020 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/7020">Prime factors of 7020 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 7005 | 3, 5, 467 |
| 7006 | 2, 31, 113 |
| 7007 | 72 × 11 × 13 |
| 7008 | 25 × 3 × 73 |
| 7009 | 43, 163 |
| 7010 | 2, 5, 701 |
| 7011 | 32 × 19 × 41 |
| 7012 | 22 × 1753 |
| 7013 | 7013 |
| 7014 | 2, 3, 7, 167 |
| 7015 | 5, 23, 61 |
| 7016 | 23 × 877 |
| 7017 | 3, 2339 |
| 7018 | 2 × 112 × 29 |
| 7019 | 7019 |
| 7020 | 22 × 33 × 5 × 13 |
| 7021 | 7, 17, 59 |
| 7022 | 2, 3511 |
| 7023 | 3, 2341 |
| 7024 | 24 × 439 |
| 7025 | 52 × 281 |
| 7026 | 2, 3, 1171 |
| 7027 | 7027 |
| 7028 | 22 × 7 × 251 |
| 7029 | 32 × 11 × 71 |
| 7030 | 2, 5, 19, 37 |
| 7031 | 79, 89 |
| 7032 | 23 × 3 × 293 |
| 7033 | 13, 541 |
| 7034 | 2, 3517 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself