Factors of 2016

What are the Factors of 2016?


1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016 as Factors

or

12×168, 14×144, 16×126, 18×112, 1×2016, 21×96, 24×84, 28×72, 2×1008, 32×63, 36×56, 3×672, 42×48, 4×504, 6×336, 7×288, 8×252, 9×224 as Factor Pairs

Formula How to

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How to find Factors of 2016? 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 2016 using the formula above, step by step trees are given below

Number Factor Pairs
2011 1×2011
2012 1×2012, 2×1006, 4×503
2013 11×183, 1×2013, 33×61, 3×671
2014 19×106, 1×2014, 2×1007, 38×53
2015 13×155, 1×2015, 31×65, 5×403
2016 12×168, 14×144, 16×126, 18×112, 1×2016, 21×96, 24×84, 28×72, 2×1008, 32×63, 36×56, 3×672, 42×48, 4×504, 6×336, 7×288, 8×252, 9×224
2017 1×2017
2018 1×2018, 2×1009
2019 1×2019, 3×673
2020 10×202, 1×2020, 20×101, 2×1010, 4×505, 5×404
2021 1×2021, 43×47

Factors of 2016 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008 and 2016.

Factor Pairs of 2016 are 12×168, 14×144, 16×126, 18×112, 1×2016, 21×96, 24×84, 28×72, 2×1008, 32×63, 36×56, 3×672, 42×48, 4×504, 6×336, 7×288, 8×252 and 9×224.

No! 2016 is not a prime number.

Yes! 2016 is a composite number.