Factor Calculator

Factors of 145

The factors of 145 are 1, 5, 29, and 145. In total, 145 has 4 factors. Its prime factorization is 5 × 29, and the sum of all its factors is 180.

All factors of 145

Here are all 4 factors of 145, listed from smallest to largest.

1529145

Factor pairs of 145

These 2 pairs of whole numbers each multiply to give 145.

1 × 145 = 145
5 × 29 = 145

Prime factorization of 145

Dividing 145 by the smallest prime at each step gives its prime factorization:

145 ÷ 5 = 29
29 ÷ 29 = 1
Result: 145 = 5 × 29 = 5 × 29

The distinct prime factors of 145 are 5, 29. To factorize any other number, use the prime factorization calculator.

Factor tree of 145

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

Factor tree of 145145529
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 145

Number of factors4
Sum of factors180
Sum of proper factors35
Prime factorization5 × 29
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 145 interesting

  • 145 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.
  • 145 is a deficient number: its proper factors sum to 35, which is 110 less than 145 itself.

How to find the factors of 145 yourself

Divide 145 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 √14512.04, because every factor above that pairs with one below it.

145 ÷ 1 = 145
145 ÷ 5 = 29

Reading both columns gives every factor: 1, 5, 29, 145. The factor calculator does this automatically for any number.

Frequently asked questions about 145

What are the factors of 145?

The factors of 145 are 1, 5, 29, and 145. That is 4 factors in total, counting both 1 and 145.

Is 145 a prime number?

No, 145 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 145 is also divisible by 5.

What is the prime factorization of 145?

The prime factorization of 145 is 5 × 29. Written out in full: 5 × 29 = 145. Its distinct prime factors are 5, 29.

What two numbers multiply to give 145?

There are 2 pairs of whole numbers that multiply to 145: 1 × 145, 5 × 29.

What is the sum of the factors of 145?

Adding all the factors of 145 together gives 180. Excluding 145 itself, the proper factors sum to 35.

Is 145 a perfect square?

No, 145 is not a perfect square. There is no whole number that multiplies by itself to give 145. The nearest perfect squares are 144 and 169.

What is the largest factor of 145 other than itself?

The largest factor of 145 apart from 145 itself is 29, since 145 ÷ 29 = 5.

How many factors does 145 have?

145 has 4 factors: 1, 5, 29, and 145. You can verify this from the prime factorization 5 × 29: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 145 down further with the prime factorization calculator, or compare 145 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.