Factor Calculator

Factors of 616

The factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, and 616. In total, 616 has 16 factors. Its prime factorization is 2³ × 7 × 11, and the sum of all its factors is 1440.

All factors of 616

Here are all 16 factors of 616, listed from smallest to largest.

124781114222844567788154308616

Factor pairs of 616

These 8 pairs of whole numbers each multiply to give 616.

1 × 616 = 616
2 × 308 = 616
4 × 154 = 616
7 × 88 = 616
8 × 77 = 616
11 × 56 = 616
14 × 44 = 616
22 × 28 = 616

Prime factorization of 616

Dividing 616 by the smallest prime at each step gives its prime factorization:

616 ÷ 2 = 308
308 ÷ 2 = 154
154 ÷ 2 = 77
77 ÷ 7 = 11
11 ÷ 11 = 1
Result: 616 = 2 × 2 × 2 × 7 × 11 = 2³ × 7 × 11

The distinct prime factors of 616 are 2, 7, 11. To factorize any other number, use the prime factorization calculator.

Factor tree of 616

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Factor tree of 61661623082154277711
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 616

Number of factors16
Sum of factors1440
Sum of proper factors824
Prime factorization2³ × 7 × 11
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 616 interesting

  • 616 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
  • 616 is an abundant number: its proper factors sum to 824, which is 208 more than 616 itself.
  • 616 has 3 distinct prime factors (2, 7, 11), which is why it has so many divisors.

How to find the factors of 616 yourself

Divide 616 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √61624.82, because every factor above that pairs with one below it.

616 ÷ 1 = 616
616 ÷ 2 = 308
616 ÷ 4 = 154
616 ÷ 7 = 88
616 ÷ 8 = 77
616 ÷ 11 = 56
616 ÷ 14 = 44
616 ÷ 22 = 28

Reading both columns gives every factor: 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616. The factor calculator does this automatically for any number.

Frequently asked questions about 616

What are the factors of 616?

The factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, and 616. That is 16 factors in total, counting both 1 and 616.

Is 616 a prime number?

No, 616 is not prime — it is a composite number with 16 factors. A prime number has exactly two factors, but 616 is also divisible by 2.

What is the prime factorization of 616?

The prime factorization of 616 is 2³ × 7 × 11. Written out in full: 2 × 2 × 2 × 7 × 11 = 616. Its distinct prime factors are 2, 7, 11.

What two numbers multiply to give 616?

There are 8 pairs of whole numbers that multiply to 616: 1 × 616, 2 × 308, 4 × 154, 7 × 88, 8 × 77, 11 × 56, 14 × 44, 22 × 28.

What is the sum of the factors of 616?

Adding all the factors of 616 together gives 1440. Excluding 616 itself, the proper factors sum to 824.

Is 616 a perfect square?

No, 616 is not a perfect square. There is no whole number that multiplies by itself to give 616. The nearest perfect squares are 576 and 625.

What is the largest factor of 616 other than itself?

The largest factor of 616 apart from 616 itself is 308, since 616 ÷ 308 = 2.

How many factors does 616 have?

616 has 16 factors: 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, and 616. You can verify this from the prime factorization 2³ × 7 × 11: add 1 to each exponent and multiply, giving 4 × 2 × 2 = 16.

Explore more

Try another number in the factor calculator, break 616 down further with the prime factorization calculator, or compare 616 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.