Factors of 901

The numbers that divide 901 evenly are known as factors of 901. A factor of 901 is a number that divides the number without a remainder. The factors of 901 are 1, 17, 53, and 901.

Negative factors of 901: -1, -17, -53, and -901.

Prime factors of 901: 17 and 53.

Prime factorization of 901: 17 × 53.

The sum of factors of 901: 1 + 17 + 53 + 901 = 972

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

1. Finding factors using multiplication
2. Finding factors using the 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 901. Identifying the numbers which are multiplied to get the number 901 is the multiplication method.

Step 1: Multiply 901 by 1, 901 × 1 = 901.

Step 2: Check for other numbers that give 901 after multiplying 17 × 53 = 901

Therefore, the positive factor pairs of 901 are: (1, 901) and (17, 53). All these factor pairs result in 901. For every positive factor, there is a negative factor.

Dividing the given numbers with 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 901 by 1, 901 ÷ 1 = 901.

Step 2: Continue dividing 901 by the numbers until the remainder becomes 0.

901 ÷ 1 = 901

901 ÷ 17 = 53

901 ÷ 53 = 17

Therefore, the factors of 901 are: 1, 17, 53, 901.

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

• Using prime factorization
• Using a factor tree

Using Prime Factorization: In this process, prime factors of 901 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

901 ÷ 17 = 53

53 ÷ 53 = 1

The prime factors of 901 are 17 and 53. The prime factorization of 901 is: 17 × 53.

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

Step 1: Firstly, 901 is divided by 17 to get 53.

Step 2: Now divide 53 by 53 to get 1. Here, 53 is the smallest prime number and cannot be divided any further. So, the prime factorization of 901 is: 17 × 53.

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 901: (1, 901) and (17, 53).
• Negative factor pairs of 901: (-1, -901) and (-17, -53).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 901 are 1, 17, 53, and 901.

• Prime factors: The factors which are prime numbers. For example, 17 and 53 are prime factors of 901.

• 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 901 are (1, 901) and (17, 53).

• Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 901 is 17 × 53.

• Multiples: A number is a multiple of its factors. For example, 901 is a multiple of 17 and 53.