Factors of 112

What are the Factors of 112?

1, 2, 4, 7, 8, 14, 16, 28, 56, 112 as Factors

or

1×112, 2×56, 4×28, 7×16, 8×14 as Factor Pairs

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Factors

How to find Factors of 112? The factors of a number are the positive integers that divide evenly into that number. In other words, they're the numbers that can be multiplied together to give the original number.

The number of factors a positive integer has is related to its prime factorization. For example, a number that is the product of two distinct primes has exactly three factors: 1, the number itself, and one of the primes. On the other hand, a number that is a perfect square has an odd number of factors, because it has duplicates of its prime factors.

To find the factors of a number, you need to break that number down to its smallest prime number.

The quickest way to find the factors of a number is to divide it by the smallest prime number (bigger than 1) that goes into it evenly with no remainder. Continue this process with each number you get, until you reach 1.

For calculation, here's how to calculate Factors of 112 using the formula above, step by step trees are given below

Number Factor Pairs
107 1×107
108 1×108, 2×54, 3×36, 4×27, 6×18, 9×12
109 1×109
110 10×11, 1×110, 2×55, 5×22
111 1×111, 3×37
112 1×112, 2×56, 4×28, 7×16, 8×14
113 1×113
114 1×114, 2×57, 3×38, 6×19
115 1×115, 5×23
116 1×116, 2×58, 4×29
117 1×117, 3×39, 9×13

Factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56 and 112.

Factor Pairs of 112 are 1×112, 2×56, 4×28, 7×16 and 8×14.

No! 112 is not a prime number.

Yes! 112 is a composite number.
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