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Factors of 552

Factors of 552 are numbers that, when multiplied in pairs give the product as 552. There are overall 16 factors of 552 among which 552 is the biggest factor and its prime factors are 2, 3, 23. The Prime Factorization of 552 is 2³ × 3¹ × 23¹.

All Factors of 552: 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276 and 552
Prime Factors of 552: 2, 3, 23
Prime Factorization of 552: 2³ × 3¹ × 23¹
Sum of Factors of 552: 1440

1.	What Are the Factors of 552?
2.	Factors of 552 by Prime Factorization
3.	Factors of 552 in Pairs
4.	FAQs on Factors of 552

What are Factors of 552?

Factors of 552 are pairs of those numbers whose products result in 552. These factors are either prime numbers or composite numbers.

How to Find the Factors of 552?

To find the factors of 552, we will have to find the list of numbers that would divide 552 without leaving any remainder.

552/8 = 69; therefore, 8 is a factor of 552 and 69 is also a factor of 552.
552/4 = 138; therefore, 4 is a factor of 552 and 138 is also a factor of 552.

Similarly we can find other factors. Hence, the factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552.

☛ Also Check:

Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Factors of 36 - The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50
Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
Factors of 44 - The factors of 44 are 1, 2, 4, 11, 22, 44

Factors of 552 by Prime Factorization

The number 552 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 552. The first step is to divide the number 552 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

552 ÷ 2 = 276
276 ÷ 2 = 138
138 ÷ 2 = 69

Further dividing 69 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 69 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 552 can be written as 2³ × 3¹ × 23¹ where 2, 3, 23 are prime.

Factors of 552 in Pairs

Pair factors of 552 are the pairs of numbers that when multiplied give the product 552. The factors of 552 in pairs are:

1 × 552 = (1, 552)
2 × 276 = (2, 276)
3 × 184 = (3, 184)
4 × 138 = (4, 138)
6 × 92 = (6, 92)
8 × 69 = (8, 69)
12 × 46 = (12, 46)
23 × 24 = (23, 24)

Negative pair factors of 552 are:

-1 × -552 = (-1, -552)
-2 × -276 = (-2, -276)
-3 × -184 = (-3, -184)
-4 × -138 = (-4, -138)
-6 × -92 = (-6, -92)
-8 × -69 = (-8, -69)
-12 × -46 = (-12, -46)
-23 × -24 = (-23, -24)

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

Factors of 552 Solved Examples

Example 1: How many factors are there for 552?

Solution:

The factors of 552 are too many, therefore if we can find the prime factorization of 552, then the total number of factors can be calculated using the formula shown below.
If the prime factorization of the number is a^x × b^y × c^z where a, b, c are prime, then the total number of factors can be given by (x + 1)(y + 1)(z + 1).

Prime Factorization of 552 = 2³ × 3¹ × 23¹
Therefore, the total number of factors are (3 + 1) × (1 + 1) × (1 + 1) = 4 × 2 × 2 = 16
Example 2: Find the Lowest Common Multiple (LCM) and Highest Common Factor (HCF) of 552 and 253.

Solution:

The factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552 and factors of 253 are 1, 11, 23, 253.

Therefore, the Lowest Common Multiple (LCM) of 552 and 253 is 6072 and Highest Common Factor (HCF) of 552 and 253 is 23.
Example 3: Find if 1, 3, 6, 12, 24, 46, 92 and 290 are factors of 552.

Solution:

When we divide 552 by 290 it leaves a remainder. Therefore, the number 290 is not a factor of 552. All numbers except 290 are factors of 552.
Example 4: Find the product of all the prime factors of 552.

Solution:

Since, the prime factors of 552 are 2, 3, 23. Therefore, the product of prime factors = 2 × 3 × 23 = 138.

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FAQs on Factors of 552

What are the Factors of 552?

The factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552 and its negative factors are -1, -2, -3, -4, -6, -8, -12, -23, -24, -46, -69, -92, -138, -184, -276, -552.

What is the Sum of Factors of 552?

Sum of all factors of 552 = (2^{3 + 1} - 1)/(2 - 1) × (3^{1 + 1} - 1)/(3 - 1) × (23^{1 + 1} - 1)/(23 - 1) = 1440

What are the Prime Factors of 552?

The prime factors of 552 are 2, 3, 23.

What is the Greatest Common Factor of 552 and 529?

The factors of 552 and 529 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552 and 1, 23, 529 respectively.

Common factors of 552 and 529 are [1, 23].

Hence, the Greatest Common Factor of 552 and 529 is 23.

What are the Common Factors of 552 and 107?

Since, the factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552 and factors of 107 are 1, 107. Hence, 552 and 107 have only one common factor which is 1. Therefore, 552 and 107 are co-prime.

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