Factor Calculator

Factors of 177

The factors of 177 are 1, 3, 59, and 177. In total, 177 has 4 factors. Its prime factorization is 3 × 59, and the sum of all its factors is 240.

All factors of 177

Here are all 4 factors of 177, listed from smallest to largest.

1359177

Factor pairs of 177

These 2 pairs of whole numbers each multiply to give 177.

1 × 177 = 177
3 × 59 = 177

Prime factorization of 177

Dividing 177 by the smallest prime at each step gives its prime factorization:

177 ÷ 3 = 59
59 ÷ 59 = 1
Result: 177 = 3 × 59 = 3 × 59

The distinct prime factors of 177 are 3, 59. To factorize any other number, use the prime factorization calculator.

Factor tree of 177

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

Factor tree of 177177359
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 177

Number of factors4
Sum of factors240
Sum of proper factors63
Prime factorization3 × 59
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 177 interesting

  • 177 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
  • 177 is a deficient number: its proper factors sum to 63, which is 114 less than 177 itself.

How to find the factors of 177 yourself

Divide 177 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 √177 ≈ 13.30, because every factor above that pairs with one below it.

177 ÷ 1 = 177 ✓
177 ÷ 3 = 59 ✓

Reading both columns gives every factor: 1, 3, 59, 177. The factor calculator does this automatically for any number.

Numbers mathematically connected to 177.

Frequently asked questions about 177

What are the factors of 177?

The factors of 177 are 1, 3, 59, and 177. That is 4 factors in total, counting both 1 and 177.

Is 177 a prime number?

No, 177 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 177 is also divisible by 3.

What is the prime factorization of 177?

The prime factorization of 177 is 3 × 59. Written out in full: 3 × 59 = 177. Its distinct prime factors are 3, 59.

What two numbers multiply to give 177?

There are 2 pairs of whole numbers that multiply to 177: 1 × 177, 3 × 59.

What is the sum of the factors of 177?

Adding all the factors of 177 together gives 240. Excluding 177 itself, the proper factors sum to 63.

Is 177 a perfect square?

No, 177 is not a perfect square. There is no whole number that multiplies by itself to give 177. The nearest perfect squares are 169 and 196.

What is the largest factor of 177 other than itself?

The largest factor of 177 apart from 177 itself is 59, since 177 ÷ 59 = 3.

How many factors does 177 have?

177 has 4 factors: 1, 3, 59, and 177. You can verify this from the prime factorization 3 × 59: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 177 down further with the prime factorization calculator, or compare 177 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.