Factor Calculator

Factors of 98

The factors of 98 are 1, 2, 7, 14, 49, and 98. In total, 98 has 6 factors. Its prime factorization is 2 × 7², and the sum of all its factors is 171.

All factors of 98

Here are all 6 factors of 98, listed from smallest to largest.

127144998

Factor pairs of 98

These 3 pairs of whole numbers each multiply to give 98.

1 × 98 = 98
2 × 49 = 98
7 × 14 = 98

Prime factorization of 98

Dividing 98 by the smallest prime at each step gives its prime factorization:

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

The distinct prime factors of 98 are 2, 7. To factorize any other number, use the prime factorization calculator.

Factor tree of 98

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

Factor tree of 989824977
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 98

Number of factors6
Sum of factors171
Sum of proper factors73
Prime factorization2 × 7²
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 98 interesting

  • 98 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
  • 98 is a deficient number: its proper factors sum to 73, which is 25 less than 98 itself.

How to find the factors of 98 yourself

Divide 98 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 √989.90, because every factor above that pairs with one below it.

98 ÷ 1 = 98
98 ÷ 2 = 49
98 ÷ 7 = 14

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

Frequently asked questions about 98

What are the factors of 98?

The factors of 98 are 1, 2, 7, 14, 49, and 98. That is 6 factors in total, counting both 1 and 98.

Is 98 a prime number?

No, 98 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 98 is also divisible by 2.

What is the prime factorization of 98?

The prime factorization of 98 is 2 × 7². Written out in full: 2 × 7 × 7 = 98. Its distinct prime factors are 2, 7.

What two numbers multiply to give 98?

There are 3 pairs of whole numbers that multiply to 98: 1 × 98, 2 × 49, 7 × 14.

What is the sum of the factors of 98?

Adding all the factors of 98 together gives 171. Excluding 98 itself, the proper factors sum to 73.

Is 98 a perfect square?

No, 98 is not a perfect square. There is no whole number that multiplies by itself to give 98. The nearest perfect squares are 81 and 100.

What is the largest factor of 98 other than itself?

The largest factor of 98 apart from 98 itself is 49, since 98 ÷ 49 = 2.

How many factors does 98 have?

98 has 6 factors: 1, 2, 7, 14, 49, and 98. You can verify this from the prime factorization 2 × 7²: add 1 to each exponent and multiply, giving 2 × 3 = 6.

Explore more

Try another number in the factor calculator, break 98 down further with the prime factorization calculator, or compare 98 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.