Factor Calculator

Factors of 629

The factors of 629 are 1, 17, 37, and 629. In total, 629 has 4 factors. Its prime factorization is 17 × 37, and the sum of all its factors is 684.

All factors of 629

Here are all 4 factors of 629, listed from smallest to largest.

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Factor pairs of 629

These 2 pairs of whole numbers each multiply to give 629.

1 × 629 = 629
17 × 37 = 629

Prime factorization of 629

Dividing 629 by the smallest prime at each step gives its prime factorization:

629 ÷ 17 = 37
37 ÷ 37 = 1
Result: 629 = 17 × 37 = 17 × 37

The distinct prime factors of 629 are 17, 37. To factorize any other number, use the prime factorization calculator.

Factor tree of 629

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

Factor tree of 6296291737
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 629

Number of factors4
Sum of factors684
Sum of proper factors55
Prime factorization17 × 37
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 629 interesting

  • 629 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.
  • 629 is a deficient number: its proper factors sum to 55, which is 574 less than 629 itself.

How to find the factors of 629 yourself

Divide 629 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 √629 ≈ 25.08, because every factor above that pairs with one below it.

629 ÷ 1 = 629 ✓
629 ÷ 17 = 37 ✓

Reading both columns gives every factor: 1, 17, 37, 629. The factor calculator does this automatically for any number.

Numbers mathematically connected to 629.

Frequently asked questions about 629

What are the factors of 629?

The factors of 629 are 1, 17, 37, and 629. That is 4 factors in total, counting both 1 and 629.

Is 629 a prime number?

No, 629 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 629 is also divisible by 17.

What is the prime factorization of 629?

The prime factorization of 629 is 17 × 37. Written out in full: 17 × 37 = 629. Its distinct prime factors are 17, 37.

What two numbers multiply to give 629?

There are 2 pairs of whole numbers that multiply to 629: 1 × 629, 17 × 37.

What is the sum of the factors of 629?

Adding all the factors of 629 together gives 684. Excluding 629 itself, the proper factors sum to 55.

Is 629 a perfect square?

No, 629 is not a perfect square. There is no whole number that multiplies by itself to give 629. The nearest perfect squares are 625 and 676.

What is the largest factor of 629 other than itself?

The largest factor of 629 apart from 629 itself is 37, since 629 ÷ 37 = 17.

How many factors does 629 have?

629 has 4 factors: 1, 17, 37, and 629. You can verify this from the prime factorization 17 × 37: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 629 down further with the prime factorization calculator, or compare 629 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.