Factor Calculator

Factors of 176

The factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, and 176. In total, 176 has 10 factors. Its prime factorization is 2⁴ × 11, and the sum of all its factors is 372.

All factors of 176

Here are all 10 factors of 176, listed from smallest to largest.

12481116224488176

Factor pairs of 176

These 5 pairs of whole numbers each multiply to give 176.

1 × 176 = 176
2 × 88 = 176
4 × 44 = 176
8 × 22 = 176
11 × 16 = 176

Prime factorization of 176

Dividing 176 by the smallest prime at each step gives its prime factorization:

176 ÷ 2 = 88
88 ÷ 2 = 44
44 ÷ 2 = 22
22 ÷ 2 = 11
11 ÷ 11 = 1
Result: 176 = 2 × 2 × 2 × 2 × 11 = 2⁴ × 11

The distinct prime factors of 176 are 2, 11. To factorize any other number, use the prime factorization calculator.

Factor tree of 176

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

Factor tree of 176176288244222211
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 176

Number of factors10
Sum of factors372
Sum of proper factors196
Prime factorization2⁴ × 11
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 176 interesting

  • 176 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.
  • 176 is an abundant number: its proper factors sum to 196, which is 20 more than 176 itself.

How to find the factors of 176 yourself

Divide 176 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 √176 ≈ 13.27, because every factor above that pairs with one below it.

176 ÷ 1 = 176 ✓
176 ÷ 2 = 88 ✓
176 ÷ 4 = 44 ✓
176 ÷ 8 = 22 ✓
176 ÷ 11 = 16 ✓

Reading both columns gives every factor: 1, 2, 4, 8, 11, 16, 22, 44, 88, 176. The factor calculator does this automatically for any number.

Numbers mathematically connected to 176.

Frequently asked questions about 176

What are the factors of 176?

The factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, and 176. That is 10 factors in total, counting both 1 and 176.

Is 176 a prime number?

No, 176 is not prime — it is a composite number with 10 factors. A prime number has exactly two factors, but 176 is also divisible by 2.

What is the prime factorization of 176?

The prime factorization of 176 is 2⁴ × 11. Written out in full: 2 × 2 × 2 × 2 × 11 = 176. Its distinct prime factors are 2, 11.

What two numbers multiply to give 176?

There are 5 pairs of whole numbers that multiply to 176: 1 × 176, 2 × 88, 4 × 44, 8 × 22, 11 × 16.

What is the sum of the factors of 176?

Adding all the factors of 176 together gives 372. Excluding 176 itself, the proper factors sum to 196.

Is 176 a perfect square?

No, 176 is not a perfect square. There is no whole number that multiplies by itself to give 176. The nearest perfect squares are 169 and 196.

What is the largest factor of 176 other than itself?

The largest factor of 176 apart from 176 itself is 88, since 176 ÷ 88 = 2.

How many factors does 176 have?

176 has 10 factors: 1, 2, 4, 8, 11, 16, 22, 44, 88, and 176. You can verify this from the prime factorization 2⁴ × 11: add 1 to each exponent and multiply, giving 5 × 2 = 10.

Explore more

Try another number in the factor calculator, break 176 down further with the prime factorization calculator, or compare 176 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.