Factor Calculator

Factors of 427

The factors of 427 are 1, 7, 61, and 427. In total, 427 has 4 factors. Its prime factorization is 7 × 61, and the sum of all its factors is 496.

All factors of 427

Here are all 4 factors of 427, listed from smallest to largest.

1761427

Factor pairs of 427

These 2 pairs of whole numbers each multiply to give 427.

1 × 427 = 427
7 × 61 = 427

Prime factorization of 427

Dividing 427 by the smallest prime at each step gives its prime factorization:

427 ÷ 7 = 61
61 ÷ 61 = 1
Result: 427 = 7 × 61 = 7 × 61

The distinct prime factors of 427 are 7, 61. To factorize any other number, use the prime factorization calculator.

Factor tree of 427

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

Factor tree of 427427761
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 427

Number of factors4
Sum of factors496
Sum of proper factors69
Prime factorization7 × 61
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 427 interesting

  • 427 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.
  • 427 is a deficient number: its proper factors sum to 69, which is 358 less than 427 itself.

How to find the factors of 427 yourself

Divide 427 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 √42720.66, because every factor above that pairs with one below it.

427 ÷ 1 = 427
427 ÷ 7 = 61

Reading both columns gives every factor: 1, 7, 61, 427. The factor calculator does this automatically for any number.

Frequently asked questions about 427

What are the factors of 427?

The factors of 427 are 1, 7, 61, and 427. That is 4 factors in total, counting both 1 and 427.

Is 427 a prime number?

No, 427 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 427 is also divisible by 7.

What is the prime factorization of 427?

The prime factorization of 427 is 7 × 61. Written out in full: 7 × 61 = 427. Its distinct prime factors are 7, 61.

What two numbers multiply to give 427?

There are 2 pairs of whole numbers that multiply to 427: 1 × 427, 7 × 61.

What is the sum of the factors of 427?

Adding all the factors of 427 together gives 496. Excluding 427 itself, the proper factors sum to 69.

Is 427 a perfect square?

No, 427 is not a perfect square. There is no whole number that multiplies by itself to give 427. The nearest perfect squares are 400 and 441.

What is the largest factor of 427 other than itself?

The largest factor of 427 apart from 427 itself is 61, since 427 ÷ 61 = 7.

How many factors does 427 have?

427 has 4 factors: 1, 7, 61, and 427. You can verify this from the prime factorization 7 × 61: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 427 down further with the prime factorization calculator, or compare 427 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.