Factor Calculator

Factors of 671

The factors of 671 are 1, 11, 61, and 671. In total, 671 has 4 factors. Its prime factorization is 11 × 61, and the sum of all its factors is 744.

All factors of 671

Here are all 4 factors of 671, listed from smallest to largest.

11161671

Factor pairs of 671

These 2 pairs of whole numbers each multiply to give 671.

1 × 671 = 671
11 × 61 = 671

Prime factorization of 671

Dividing 671 by the smallest prime at each step gives its prime factorization:

671 ÷ 11 = 61
61 ÷ 61 = 1
Result: 671 = 11 × 61 = 11 × 61

The distinct prime factors of 671 are 11, 61. To factorize any other number, use the prime factorization calculator.

Factor tree of 671

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

Factor tree of 6716711161
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 671

Number of factors4
Sum of factors744
Sum of proper factors73
Prime factorization11 × 61
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 671 interesting

  • 671 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.
  • 671 is a deficient number: its proper factors sum to 73, which is 598 less than 671 itself.

How to find the factors of 671 yourself

Divide 671 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 √67125.90, because every factor above that pairs with one below it.

671 ÷ 1 = 671
671 ÷ 11 = 61

Reading both columns gives every factor: 1, 11, 61, 671. The factor calculator does this automatically for any number.

Frequently asked questions about 671

What are the factors of 671?

The factors of 671 are 1, 11, 61, and 671. That is 4 factors in total, counting both 1 and 671.

Is 671 a prime number?

No, 671 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 671 is also divisible by 11.

What is the prime factorization of 671?

The prime factorization of 671 is 11 × 61. Written out in full: 11 × 61 = 671. Its distinct prime factors are 11, 61.

What two numbers multiply to give 671?

There are 2 pairs of whole numbers that multiply to 671: 1 × 671, 11 × 61.

What is the sum of the factors of 671?

Adding all the factors of 671 together gives 744. Excluding 671 itself, the proper factors sum to 73.

Is 671 a perfect square?

No, 671 is not a perfect square. There is no whole number that multiplies by itself to give 671. The nearest perfect squares are 625 and 676.

What is the largest factor of 671 other than itself?

The largest factor of 671 apart from 671 itself is 61, since 671 ÷ 61 = 11.

How many factors does 671 have?

671 has 4 factors: 1, 11, 61, and 671. You can verify this from the prime factorization 11 × 61: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 671 down further with the prime factorization calculator, or compare 671 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.