Factors of 1552

The numbers that divide 1552 evenly are known as factors of 1552. A factor of 1552 is a number that divides the number without remainder. The factors of 1552 are 1, 2, 4, 8, 16, 97, 194, 388, 776, and 1552.

Negative factors of 1552: -1, -2, -4, -8, -16, -97, -194, -388, -776, and -1552.

Prime factors of 1552: 2 and 97.

Prime factorization of 1552: 2⁴ × 97.

The sum of factors of 1552: 1 + 2 + 4 + 8 + 16 + 97 + 194 + 388 + 776 + 1552 = 3038

Factors can be found using different methods. Mentioned below are some commonly used methods:

1. Finding factors using multiplication
2. Finding factors using division method
3. Prime factors and Prime factorization

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1552. Identifying the numbers which are multiplied to get the number 1552 is the multiplication method.

Step 1: Multiply 1552 by 1, 1552 × 1 = 1552.

Step 2: Check for other numbers that give 1552 after multiplying

2 × 776 = 1552

4 × 388 = 1552

8 × 194 = 1552

16 × 97 = 1552

Therefore, the positive factor pairs of 1552 are: (1, 1552), (2, 776), (4, 388), (8, 194), (16, 97). All these factor pairs result in 1552. For every positive factor, there is a negative factor.

Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method -

Step 1: Divide 1552 by 1, 1552 ÷ 1 = 1552.

Step 2: Continue dividing 1552 by the numbers until the remainder becomes 0.

1552 ÷ 1 = 1552

1552 ÷ 2 = 776

1552 ÷ 4 = 388

1552 ÷ 8 = 194

1552 ÷ 16 = 97

Therefore, the factors of 1552 are: 1, 2, 4, 8, 16, 97, 194, 388, 776, 1552.

The factors can be found by dividing it with a prime numbers. We can find the prime factors using the following methods:

• Using prime factorization
• Using factor tree

Using Prime Factorization: In this process, prime factors of 1552 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1552 ÷ 2 = 776

776 ÷ 2 = 388

388 ÷ 2 = 194

194 ÷ 2 = 97

97 ÷ 97 = 1

The prime factors of 1552 are 2 and 97. The prime factorization of 1552 is: 2⁴ × 97.

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -

Step 1: Firstly, 1552 is divided by 2 to get 776.

Step 2: Now divide 776 by 2 to get 388.

Step 3: Then divide 388 by 2 to get 194.

Step 4: Divide 194 by 2 to get 97. Here, 97 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1552 is: 2⁴ × 97.

Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.

• Positive factor pairs of 1552: (1, 1552), (2, 776), (4, 388), (8, 194), and (16, 97).

• Negative factor pairs of 1552: (-1, -1552), (-2, -776), (-4, -388), (-8, -194), and (-16, -97).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1552 are 1, 2, 4, 8, 16, 97, 194, 388, 776, and 1552.

• Prime factors: The factors which are prime numbers. For example, 2 and 97 are prime factors of 1552.

• Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 1552 are (1, 1552), (2, 776), etc.

• Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1552 is 2⁴ × 97.

• Multiple: A number that can be divided by another number without a remainder. For example, 1552 is a multiple of 4.