Factor Calculator

Factors of 440

The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, and 440. In total, 440 has 16 factors. Its prime factorization is 2³ × 5 × 11, and the sum of all its factors is 1080.

All factors of 440

Here are all 16 factors of 440, listed from smallest to largest.

124581011202240445588110220440

Factor pairs of 440

These 8 pairs of whole numbers each multiply to give 440.

1 × 440 = 440
2 × 220 = 440
4 × 110 = 440
5 × 88 = 440
8 × 55 = 440
10 × 44 = 440
11 × 40 = 440
20 × 22 = 440

Prime factorization of 440

Dividing 440 by the smallest prime at each step gives its prime factorization:

440 ÷ 2 = 220
220 ÷ 2 = 110
110 ÷ 2 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1
Result: 440 = 2 × 2 × 2 × 5 × 11 = 2³ × 5 × 11

The distinct prime factors of 440 are 2, 5, 11. To factorize any other number, use the prime factorization calculator.

Factor tree of 440

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

Factor tree of 44044022202110255511
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 440

Number of factors16
Sum of factors1080
Sum of proper factors640
Prime factorization2³ × 5 × 11
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 440 interesting

  • 440 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
  • 440 is an abundant number: its proper factors sum to 640, which is 200 more than 440 itself.
  • 440 has 3 distinct prime factors (2, 5, 11), which is why it has so many divisors.

How to find the factors of 440 yourself

Divide 440 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 √440 ≈ 20.98, because every factor above that pairs with one below it.

440 ÷ 1 = 440 ✓
440 ÷ 2 = 220 ✓
440 ÷ 4 = 110 ✓
440 ÷ 5 = 88 ✓
440 ÷ 8 = 55 ✓
440 ÷ 10 = 44 ✓
440 ÷ 11 = 40 ✓
440 ÷ 20 = 22 ✓

Reading both columns gives every factor: 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440. The factor calculator does this automatically for any number.

Numbers mathematically connected to 440.

Frequently asked questions about 440

What are the factors of 440?

The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, and 440. That is 16 factors in total, counting both 1 and 440.

Is 440 a prime number?

No, 440 is not prime — it is a composite number with 16 factors. A prime number has exactly two factors, but 440 is also divisible by 2.

What is the prime factorization of 440?

The prime factorization of 440 is 2³ × 5 × 11. Written out in full: 2 × 2 × 2 × 5 × 11 = 440. Its distinct prime factors are 2, 5, 11.

What two numbers multiply to give 440?

There are 8 pairs of whole numbers that multiply to 440: 1 × 440, 2 × 220, 4 × 110, 5 × 88, 8 × 55, 10 × 44, 11 × 40, 20 × 22.

What is the sum of the factors of 440?

Adding all the factors of 440 together gives 1080. Excluding 440 itself, the proper factors sum to 640.

Is 440 a perfect square?

No, 440 is not a perfect square. There is no whole number that multiplies by itself to give 440. The nearest perfect squares are 400 and 441.

What is the largest factor of 440 other than itself?

The largest factor of 440 apart from 440 itself is 220, since 440 ÷ 220 = 2.

How many factors does 440 have?

440 has 16 factors: 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, and 440. You can verify this from the prime factorization 2³ × 5 × 11: add 1 to each exponent and multiply, giving 4 × 2 × 2 = 16.

Explore more

Try another number in the factor calculator, break 440 down further with the prime factorization calculator, or compare 440 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.