Is 570 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
For 570, the answer is: No, 570 is not a prime number.
The list of all positive divisors (i.e., the list of all integers that divide 570) is as follows: 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570.
For 570 to be a prime number, it would have been required that 570 has only two divisors, i.e., itself and 1.
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Actually, one can immediately see that 570 cannot be prime, because 5 is one of its divisors: indeed, a number ending with 0 or 5 has necessarily 5 among its divisors. The last digit of 570 is 0, so it is divisible by 5 and is therefore not prime.
As a consequence:
- 570 is a multiple of 1
- 570 is a multiple of 2
- 570 is a multiple of 3
- 570 is a multiple of 5
- 570 is a multiple of 6
- 570 is a multiple of 10
- 570 is a multiple of 15
- 570 is a multiple of 19
- 570 is a multiple of 30
- 570 is a multiple of 38
- 570 is a multiple of 57
- 570 is a multiple of 95
- 570 is a multiple of 114
- 570 is a multiple of 190
- 570 is a multiple of 285
For 570 to be a prime number, it would have been required that 570 has only two divisors, i.e., itself and 1.
Is 570 a deficient number?
No, 570 is not a deficient number: to be deficient, 570 should have been such that 570 is larger than the sum of its proper divisors, i.e., the divisors of 570 without 570 itself (that is 1 + 2 + 3 + 5 + 6 + 10 + 15 + 19 + 30 + 38 + 57 + 95 + 114 + 190 + 285 = 870).
In fact, 570 is an abundant number; 570 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 5 + 6 + 10 + 15 + 19 + 30 + 38 + 57 + 95 + 114 + 190 + 285 = 870). The smallest abundant number is 12.
