What makes 56

Divide 56 by 2, we get Divide 56 by each of the numbers from 1 to 28 and see which of them would give the remainder 0. The divisors of all such divisions are the factors.

Also, 56 is a factor of itself. Thus, 1,2,4,7,8,14,28 and 56 are the factors of From the prime factorization of 56, it is clear that 2 and 7 are the factors of In fact, 2 and 7 are the prime factors of Also, we know that 1 is a factor of every number. Thus, The factors of 56 by prime factorization are 1, 2, 4, 7, 8, 14, 28, and The pair factors of 56 are obtained by writing 56 as a product of two numbers in all possible ways.

Example 1 Evelyn is a class teacher and her class has 56 students. She wants to divide her class into groups and give them groupwise math practice. In how many ways can she group 56 students so that:. We already learned that the factors of 56 are 1, 2, 4, 7, 8, 14, 28, and But the groups cannot have one or all students.

So we ignore 1 and The other factors of 56 are 2, 4, 7, 8, 14, and 28 which are 6 in number. However, his teacher marked it wrong. Can we help Jamie by showing him the correct way to calculate prime factorization? Let us try factor tree method to find prime factorization of Factors of 1, 2, 4, 7, 8, 14, 28, Factors of 1, 3, 7, Highest Common factors: 7.

In simple words, negative factors are factors with a - negative sign. Only whole numbers and integers can be converted into factors. For 56 to be an integer, you should be able to write 56 without a fraction or decimal parts, e. For 56 to be an integer, it has to be the whole number that is not a fraction.

Thus, 56 is an integer as well as a whole number. When you divide 56 by its factors, the remainder is always a zero.

For example,. Let us start by writing the number 56 first. For example, 7 x Now, 7 is a prime number and it cannot break down further like the number 8.

Let us take another factor pair, 2 and Therefore, factors of 56 can be written as 7 x2 x 2 x 2 x 1. You will get the same answer with any other factor pair that you use. The conclusion is that the factors of number 56 are always written as 7 x2 x 2 x 2 x 1. Firstly, know that 56 is a composite number. You already know that 56 is a whole number as well as an integer not a fraction and not a decimal. The multiplication can take 7 x 8 or 2 x 28, so 56 is a composite number.