Factor Calculator

Factors of 196

The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, and 196. In total, 196 has 9 factors. Its prime factorization is 2² × 7², and the sum of all its factors is 399. 196 is also a perfect square, equal to 14 × 14.

All factors of 196

Here are all 9 factors of 196, listed from smallest to largest.

124714284998196

Factor pairs of 196

These 5 pairs of whole numbers each multiply to give 196.

1 × 196 = 196
2 × 98 = 196
4 × 49 = 196
7 × 28 = 196
14 × 14 = 196

Notice the pair (14, 14) — because 196 is a perfect square, this pair uses the same number twice.

Prime factorization of 196

Dividing 196 by the smallest prime at each step gives its prime factorization:

196 ÷ 2 = 98
98 ÷ 2 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
Result: 196 = 2 × 2 × 7 × 7 = 2² × 7²

The distinct prime factors of 196 are 2, 7. To factorize any other number, use the prime factorization calculator.

Factor tree of 196

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

Factor tree of 19619629824977
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 196

Number of factors9
Sum of factors399
Sum of proper factors203
Prime factorization2² × 7²
Prime or composite?Composite
Even or odd?Even
Perfect square?Yes (14²)
Perfect cube?No
ClassificationAbundant

What makes 196 interesting

  • 196 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 5 different ways.
  • 196 is a perfect square: 14 × 14 = 196. This is why it has an odd number of factors (9) — the pair (14, 14) counts only once.
  • 196 is an abundant number: its proper factors sum to 203, which is 7 more than 196 itself.

How to find the factors of 196 yourself

Divide 196 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 √196 ≈ 14.00, because every factor above that pairs with one below it.

196 ÷ 1 = 196 ✓
196 ÷ 2 = 98 ✓
196 ÷ 4 = 49 ✓
196 ÷ 7 = 28 ✓
196 ÷ 14 = 14 ✓

Reading both columns gives every factor: 1, 2, 4, 7, 14, 28, 49, 98, 196. The factor calculator does this automatically for any number.

Numbers mathematically connected to 196.

Frequently asked questions about 196

What are the factors of 196?

The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, and 196. That is 9 factors in total, counting both 1 and 196.

Is 196 a prime number?

No, 196 is not prime — it is a composite number with 9 factors. A prime number has exactly two factors, but 196 is also divisible by 2.

What is the prime factorization of 196?

The prime factorization of 196 is 2² × 7². Written out in full: 2 × 2 × 7 × 7 = 196. Its distinct prime factors are 2, 7.

What two numbers multiply to give 196?

There are 5 pairs of whole numbers that multiply to 196: 1 × 196, 2 × 98, 4 × 49, 7 × 28, 14 × 14.

What is the sum of the factors of 196?

Adding all the factors of 196 together gives 399. Excluding 196 itself, the proper factors sum to 203.

Is 196 a perfect square?

Yes, 196 is a perfect square. It equals 14 × 14. Perfect squares always have an odd number of factors — 196 has 9.

What is the largest factor of 196 other than itself?

The largest factor of 196 apart from 196 itself is 98, since 196 ÷ 98 = 2.

How many factors does 196 have?

196 has 9 factors: 1, 2, 4, 7, 14, 28, 49, 98, and 196. You can verify this from the prime factorization 2² × 7²: add 1 to each exponent and multiply, giving 3 × 3 = 9.

Explore more

Try another number in the factor calculator, break 196 down further with the prime factorization calculator, or compare 196 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.