Factor Calculator

Factors of 148

The factors of 148 are 1, 2, 4, 37, 74, and 148. In total, 148 has 6 factors. Its prime factorization is 2² × 37, and the sum of all its factors is 266.

All factors of 148

Here are all 6 factors of 148, listed from smallest to largest.

1243774148

Factor pairs of 148

These 3 pairs of whole numbers each multiply to give 148.

1 × 148 = 148
2 × 74 = 148
4 × 37 = 148

Prime factorization of 148

Dividing 148 by the smallest prime at each step gives its prime factorization:

148 ÷ 2 = 74
74 ÷ 2 = 37
37 ÷ 37 = 1
Result: 148 = 2 × 2 × 37 = 2² × 37

The distinct prime factors of 148 are 2, 37. To factorize any other number, use the prime factorization calculator.

Factor tree of 148

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

Factor tree of 148148274237
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 148

Number of factors6
Sum of factors266
Sum of proper factors118
Prime factorization2² × 37
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 148 interesting

  • 148 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
  • 148 is a deficient number: its proper factors sum to 118, which is 30 less than 148 itself.

How to find the factors of 148 yourself

Divide 148 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 √148 ≈ 12.17, because every factor above that pairs with one below it.

148 ÷ 1 = 148 ✓
148 ÷ 2 = 74 ✓
148 ÷ 4 = 37 ✓

Reading both columns gives every factor: 1, 2, 4, 37, 74, 148. The factor calculator does this automatically for any number.

Numbers mathematically connected to 148.

Frequently asked questions about 148

What are the factors of 148?

The factors of 148 are 1, 2, 4, 37, 74, and 148. That is 6 factors in total, counting both 1 and 148.

Is 148 a prime number?

No, 148 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 148 is also divisible by 2.

What is the prime factorization of 148?

The prime factorization of 148 is 2² × 37. Written out in full: 2 × 2 × 37 = 148. Its distinct prime factors are 2, 37.

What two numbers multiply to give 148?

There are 3 pairs of whole numbers that multiply to 148: 1 × 148, 2 × 74, 4 × 37.

What is the sum of the factors of 148?

Adding all the factors of 148 together gives 266. Excluding 148 itself, the proper factors sum to 118.

Is 148 a perfect square?

No, 148 is not a perfect square. There is no whole number that multiplies by itself to give 148. The nearest perfect squares are 144 and 169.

What is the largest factor of 148 other than itself?

The largest factor of 148 apart from 148 itself is 74, since 148 ÷ 74 = 2.

How many factors does 148 have?

148 has 6 factors: 1, 2, 4, 37, 74, and 148. You can verify this from the prime factorization 2² × 37: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 148 down further with the prime factorization calculator, or compare 148 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.