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In addition we can say of the number **154 that it is even**

154 is an even number, as it is divisible by 2 : 154/2 = 77

The factors for 154 are all the numbers between -154 and 154 , which divide 154 without leaving any remainder. Since 154 divided by -154 is an integer, -154 is a factor of 154 .

Since 154 divided by -154 is a whole number, -154 is a factor of 154

Since 154 divided by -77 is a whole number, -77 is a factor of 154

Since 154 divided by -22 is a whole number, -22 is a factor of 154

Since 154 divided by -14 is a whole number, -14 is a factor of 154

Since 154 divided by -11 is a whole number, -11 is a factor of 154

Since 154 divided by -7 is a whole number, -7 is a factor of 154

Since 154 divided by -2 is a whole number, -2 is a factor of 154

Since 154 divided by -1 is a whole number, -1 is a factor of 154

Since 154 divided by 1 is a whole number, 1 is a factor of 154

Since 154 divided by 2 is a whole number, 2 is a factor of 154

Since 154 divided by 7 is a whole number, 7 is a factor of 154

Since 154 divided by 11 is a whole number, 11 is a factor of 154

Since 154 divided by 14 is a whole number, 14 is a factor of 154

Since 154 divided by 22 is a whole number, 22 is a factor of 154

Since 154 divided by 77 is a whole number, 77 is a factor of 154

Multiples of 154 are all integers divisible by 154 , i.e. the remainder of the full division by 154 is zero. There are infinite multiples of 154. The smallest multiples of 154 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 154 since 0 × 154 = 0

154 : in fact, 154 is a multiple of itself, since 154 is divisible by 154 (it was 154 / 154 = 1, so the rest of this division is zero)

etc.

It is possible to determine using mathematical techniques whether an integer is prime or not.

for 154, the answer is:
**No, 154 is not a prime number**.

To know the primality of an integer, we can use several algorithms. The most naive is to try all divisors below the number you want to know if it is prime (in our case 154). We can already eliminate even numbers bigger than 2 (then 4 , 6 , 8 ...). Besides, we can stop at the square root of the number in question (here 12.41 ). Historically, the Eratosthenes screen (which dates back to Antiquity) uses this technique relatively effectively.

More modern techniques include the Atkin screen, probabilistic tests, or the cyclotomic test.

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