Factor Calculator

Factors of 770

The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, and 770. In total, 770 has 16 factors. Its prime factorization is 2 × 5 × 7 × 11, and the sum of all its factors is 1728.

All factors of 770

Here are all 16 factors of 770, listed from smallest to largest.

12571011142235557077110154385770

Factor pairs of 770

These 8 pairs of whole numbers each multiply to give 770.

1 × 770 = 770
2 × 385 = 770
5 × 154 = 770
7 × 110 = 770
10 × 77 = 770
11 × 70 = 770
14 × 55 = 770
22 × 35 = 770

Prime factorization of 770

Dividing 770 by the smallest prime at each step gives its prime factorization:

770 ÷ 2 = 385
385 ÷ 5 = 77
77 ÷ 7 = 11
11 ÷ 11 = 1
Result: 770 = 2 × 5 × 7 × 11 = 2 × 5 × 7 × 11

The distinct prime factors of 770 are 2, 5, 7, 11. To factorize any other number, use the prime factorization calculator.

Factor tree of 770

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

Factor tree of 7707702385577711
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 770

Number of factors16
Sum of factors1728
Sum of proper factors958
Prime factorization2 × 5 × 7 × 11
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 770 interesting

  • 770 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.
  • 770 is an abundant number: its proper factors sum to 958, which is 188 more than 770 itself.
  • 770 has 4 distinct prime factors (2, 5, 7, 11), which is why it has so many divisors.

How to find the factors of 770 yourself

Divide 770 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 √77027.75, because every factor above that pairs with one below it.

770 ÷ 1 = 770
770 ÷ 2 = 385
770 ÷ 5 = 154
770 ÷ 7 = 110
770 ÷ 10 = 77
770 ÷ 11 = 70
770 ÷ 14 = 55
770 ÷ 22 = 35

Reading both columns gives every factor: 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770. The factor calculator does this automatically for any number.

Frequently asked questions about 770

What are the factors of 770?

The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, and 770. That is 16 factors in total, counting both 1 and 770.

Is 770 a prime number?

No, 770 is not prime — it is a composite number with 16 factors. A prime number has exactly two factors, but 770 is also divisible by 2.

What is the prime factorization of 770?

The prime factorization of 770 is 2 × 5 × 7 × 11. Written out in full: 2 × 5 × 7 × 11 = 770. Its distinct prime factors are 2, 5, 7, 11.

What two numbers multiply to give 770?

There are 8 pairs of whole numbers that multiply to 770: 1 × 770, 2 × 385, 5 × 154, 7 × 110, 10 × 77, 11 × 70, 14 × 55, 22 × 35.

What is the sum of the factors of 770?

Adding all the factors of 770 together gives 1728. Excluding 770 itself, the proper factors sum to 958.

Is 770 a perfect square?

No, 770 is not a perfect square. There is no whole number that multiplies by itself to give 770. The nearest perfect squares are 729 and 784.

What is the largest factor of 770 other than itself?

The largest factor of 770 apart from 770 itself is 385, since 770 ÷ 385 = 2.

How many factors does 770 have?

770 has 16 factors: 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, and 770. You can verify this from the prime factorization 2 × 5 × 7 × 11: add 1 to each exponent and multiply, giving 2 × 2 × 2 × 2 = 16.

Explore more

Try another number in the factor calculator, break 770 down further with the prime factorization calculator, or compare 770 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.