Factors of 153 - Find Prime Factorization/Factors of 153 (2024)

Factors of 153 are numbers that, when multiplied in pairs give the product as 153. There are overall 6 factors of 153 i.e. 1, 3, 9, 17, 51, 153 where 153 is the biggest factor. The sum of all factors of 153 is 234. Its Prime Factors are 3 × 17 and (1, 153), (3, 51), (9, 17) are Pair Factors.

• All Factors of 153: 1, 3, 9, 17, 51 and 153
• Negative Factors of 153: -1, -3, -9, -17, -51 and -153
• Prime Factors of 153: 3, 17
• Prime Factorization of 153: 3² × 17¹
• Sum of Factors of 153: 234

What are Factors of 153?

Factors of 153 are pairs of those numbers whose products result in 153. These factors are either prime numbers or composite numbers.

How to Find the Factors of 153?

To find the factors of 153, we will have to find the list of numbers that would divide 153 without leaving any remainder.

• 153/3 = 51; therefore, 3 is a factor of 153 and 51 is also a factor of 153.
• 153/9 = 17; therefore, 9 is a factor of 153 and 17 is also a factor of 153.

Similarly we can find other factors. Hence, the factors of 153 are 1, 3, 9, 17, 51, 153.

☛ Also Check:

• Factors of 81 - The factors of 81 are 1, 3, 9, 27, 81
• Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
• Factors of 19 - The factors of 19 are 1, 19
• Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99
• Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Factors of 153 by Prime Factorization

The number 153 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 153. The first step is to divide the number 153 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 153 ÷ 3 = 51
• 51 ÷ 3 = 17

Further dividing 17 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 17 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime factorization of 153 can be written as 3² × 17¹ where 3, 17 are prime.

Factors of 153 in Pairs

Pair factors of 153 are the pairs of numbers that when multiplied give the product 153. The factors of 153 in pairs are:

• 1 × 153 = (1, 153)
• 3 × 51 = (3, 51)
• 9 × 17 = (9, 17)

Negative pair factors of 153 are:

• -1 × -153 = (-1, -153)
• -3 × -51 = (-3, -51)
• -9 × -17 = (-9, -17)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.