Factor Calculator

Factors of 46

The factors of 46 are 1, 2, 23, and 46. In total, 46 has 4 factors. Its prime factorization is 2 × 23, and the sum of all its factors is 72.

All factors of 46

Here are all 4 factors of 46, listed from smallest to largest.

122346

Factor pairs of 46

These 2 pairs of whole numbers each multiply to give 46.

1 × 46 = 46
2 × 23 = 46

Prime factorization of 46

Dividing 46 by the smallest prime at each step gives its prime factorization:

46 ÷ 2 = 23
23 ÷ 23 = 1
Result: 46 = 2 × 23 = 2 × 23

The distinct prime factors of 46 are 2, 23. To factorize any other number, use the prime factorization calculator.

Factor tree of 46

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

Factor tree of 4646223
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 46

Number of factors4
Sum of factors72
Sum of proper factors26
Prime factorization2 × 23
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 46 interesting

  • 46 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.
  • 46 is a deficient number: its proper factors sum to 26, which is 20 less than 46 itself.

How to find the factors of 46 yourself

Divide 46 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 √46 ≈ 6.78, because every factor above that pairs with one below it.

46 ÷ 1 = 46 ✓
46 ÷ 2 = 23 ✓

Reading both columns gives every factor: 1, 2, 23, 46. The factor calculator does this automatically for any number.

Numbers mathematically connected to 46.

Frequently asked questions about 46

What are the factors of 46?

The factors of 46 are 1, 2, 23, and 46. That is 4 factors in total, counting both 1 and 46.

Is 46 a prime number?

No, 46 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 46 is also divisible by 2.

What is the prime factorization of 46?

The prime factorization of 46 is 2 × 23. Written out in full: 2 × 23 = 46. Its distinct prime factors are 2, 23.

What two numbers multiply to give 46?

There are 2 pairs of whole numbers that multiply to 46: 1 × 46, 2 × 23.

What is the sum of the factors of 46?

Adding all the factors of 46 together gives 72. Excluding 46 itself, the proper factors sum to 26.

Is 46 a perfect square?

No, 46 is not a perfect square. There is no whole number that multiplies by itself to give 46. The nearest perfect squares are 36 and 49.

What is the largest factor of 46 other than itself?

The largest factor of 46 apart from 46 itself is 23, since 46 ÷ 23 = 2.

How many factors does 46 have?

46 has 4 factors: 1, 2, 23, and 46. You can verify this from the prime factorization 2 × 23: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 46 down further with the prime factorization calculator, or compare 46 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.