Factors of 126

What are the Factors of 126?

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126 as Factors

or

1×126, 2×63, 3×42, 6×21, 7×18, 9×14 as Factor Pairs

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Factors

How to find Factors of 126? 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 126 using the formula above, step by step trees are given below

Number Factor Pairs
121 11×11, 1×121
122 1×122, 2×61
123 1×123, 3×41
124 1×124, 2×62, 4×31
125 1×125, 5×25
126 1×126, 2×63, 3×42, 6×21, 7×18, 9×14
127 1×127
128 1×128, 2×64, 4×32, 8×16
129 1×129, 3×43
130 10×13, 1×130, 2×65, 5×26
131 1×131

Factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63 and 126.

Factor Pairs of 126 are 1×126, 2×63, 3×42, 6×21, 7×18 and 9×14.

No! 126 is not a prime number.

Yes! 126 is a composite number.
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