Factor Calculator

Factors of 280

The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, and 280. In total, 280 has 16 factors. Its prime factorization is 2³ × 5 × 7, and the sum of all its factors is 720.

All factors of 280

Here are all 16 factors of 280, listed from smallest to largest.

1245781014202835405670140280

Factor pairs of 280

These 8 pairs of whole numbers each multiply to give 280.

1 × 280 = 280
2 × 140 = 280
4 × 70 = 280
5 × 56 = 280
7 × 40 = 280
8 × 35 = 280
10 × 28 = 280
14 × 20 = 280

Prime factorization of 280

Dividing 280 by the smallest prime at each step gives its prime factorization:

280 ÷ 2 = 140
140 ÷ 2 = 70
70 ÷ 2 = 35
35 ÷ 5 = 7
7 ÷ 7 = 1
Result: 280 = 2 × 2 × 2 × 5 × 7 = 2³ × 5 × 7

The distinct prime factors of 280 are 2, 5, 7. To factorize any other number, use the prime factorization calculator.

Factor tree of 280

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

Factor tree of 280280214027023557
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 280

Number of factors16
Sum of factors720
Sum of proper factors440
Prime factorization2³ × 5 × 7
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 280 interesting

  • 280 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.
  • 280 is an abundant number: its proper factors sum to 440, which is 160 more than 280 itself.
  • 280 has 3 distinct prime factors (2, 5, 7), which is why it has so many divisors.

How to find the factors of 280 yourself

Divide 280 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 √280 ≈ 16.73, because every factor above that pairs with one below it.

280 ÷ 1 = 280 ✓
280 ÷ 2 = 140 ✓
280 ÷ 4 = 70 ✓
280 ÷ 5 = 56 ✓
280 ÷ 7 = 40 ✓
280 ÷ 8 = 35 ✓
280 ÷ 10 = 28 ✓
280 ÷ 14 = 20 ✓

Reading both columns gives every factor: 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280. The factor calculator does this automatically for any number.

Numbers mathematically connected to 280.

Frequently asked questions about 280

What are the factors of 280?

The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, and 280. That is 16 factors in total, counting both 1 and 280.

Is 280 a prime number?

No, 280 is not prime — it is a composite number with 16 factors. A prime number has exactly two factors, but 280 is also divisible by 2.

What is the prime factorization of 280?

The prime factorization of 280 is 2³ × 5 × 7. Written out in full: 2 × 2 × 2 × 5 × 7 = 280. Its distinct prime factors are 2, 5, 7.

What two numbers multiply to give 280?

There are 8 pairs of whole numbers that multiply to 280: 1 × 280, 2 × 140, 4 × 70, 5 × 56, 7 × 40, 8 × 35, 10 × 28, 14 × 20.

What is the sum of the factors of 280?

Adding all the factors of 280 together gives 720. Excluding 280 itself, the proper factors sum to 440.

Is 280 a perfect square?

No, 280 is not a perfect square. There is no whole number that multiplies by itself to give 280. The nearest perfect squares are 256 and 289.

What is the largest factor of 280 other than itself?

The largest factor of 280 apart from 280 itself is 140, since 280 ÷ 140 = 2.

How many factors does 280 have?

280 has 16 factors: 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, and 280. You can verify this from the prime factorization 2³ × 5 × 7: add 1 to each exponent and multiply, giving 4 × 2 × 2 = 16.

Explore more

Try another number in the factor calculator, break 280 down further with the prime factorization calculator, or compare 280 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.