Factor Calculator

Factors of 174

The factors of 174 are 1, 2, 3, 6, 29, 58, 87, and 174. In total, 174 has 8 factors. Its prime factorization is 2 × 3 × 29, and the sum of all its factors is 360.

All factors of 174

Here are all 8 factors of 174, listed from smallest to largest.

1236295887174

Factor pairs of 174

These 4 pairs of whole numbers each multiply to give 174.

1 × 174 = 174
2 × 87 = 174
3 × 58 = 174
6 × 29 = 174

Prime factorization of 174

Dividing 174 by the smallest prime at each step gives its prime factorization:

174 ÷ 2 = 87
87 ÷ 3 = 29
29 ÷ 29 = 1
Result: 174 = 2 × 3 × 29 = 2 × 3 × 29

The distinct prime factors of 174 are 2, 3, 29. To factorize any other number, use the prime factorization calculator.

Factor tree of 174

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

Factor tree of 174174287329
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 174

Number of factors8
Sum of factors360
Sum of proper factors186
Prime factorization2 × 3 × 29
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 174 interesting

  • 174 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 174 is an abundant number: its proper factors sum to 186, which is 12 more than 174 itself.
  • 174 has 3 distinct prime factors (2, 3, 29), which is why it has so many divisors.

How to find the factors of 174 yourself

Divide 174 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 √174 ≈ 13.19, because every factor above that pairs with one below it.

174 ÷ 1 = 174 ✓
174 ÷ 2 = 87 ✓
174 ÷ 3 = 58 ✓
174 ÷ 6 = 29 ✓

Reading both columns gives every factor: 1, 2, 3, 6, 29, 58, 87, 174. The factor calculator does this automatically for any number.

Numbers mathematically connected to 174.

Frequently asked questions about 174

What are the factors of 174?

The factors of 174 are 1, 2, 3, 6, 29, 58, 87, and 174. That is 8 factors in total, counting both 1 and 174.

Is 174 a prime number?

No, 174 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 174 is also divisible by 2.

What is the prime factorization of 174?

The prime factorization of 174 is 2 × 3 × 29. Written out in full: 2 × 3 × 29 = 174. Its distinct prime factors are 2, 3, 29.

What two numbers multiply to give 174?

There are 4 pairs of whole numbers that multiply to 174: 1 × 174, 2 × 87, 3 × 58, 6 × 29.

What is the sum of the factors of 174?

Adding all the factors of 174 together gives 360. Excluding 174 itself, the proper factors sum to 186.

Is 174 a perfect square?

No, 174 is not a perfect square. There is no whole number that multiplies by itself to give 174. The nearest perfect squares are 169 and 196.

What is the largest factor of 174 other than itself?

The largest factor of 174 apart from 174 itself is 87, since 174 ÷ 87 = 2.

How many factors does 174 have?

174 has 8 factors: 1, 2, 3, 6, 29, 58, 87, and 174. You can verify this from the prime factorization 2 × 3 × 29: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 174 down further with the prime factorization calculator, or compare 174 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.