Factor Calculator

Factors of 245

The factors of 245 are 1, 5, 7, 35, 49, and 245. In total, 245 has 6 factors. Its prime factorization is 5 × 7², and the sum of all its factors is 342.

All factors of 245

Here are all 6 factors of 245, listed from smallest to largest.

1573549245

Factor pairs of 245

These 3 pairs of whole numbers each multiply to give 245.

1 × 245 = 245
5 × 49 = 245
7 × 35 = 245

Prime factorization of 245

Dividing 245 by the smallest prime at each step gives its prime factorization:

245 ÷ 5 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
Result: 245 = 5 × 7 × 7 = 5 × 7²

The distinct prime factors of 245 are 5, 7. To factorize any other number, use the prime factorization calculator.

Factor tree of 245

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

Factor tree of 24524554977
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 245

Number of factors6
Sum of factors342
Sum of proper factors97
Prime factorization5 × 7²
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 245 interesting

  • 245 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.
  • 245 is a deficient number: its proper factors sum to 97, which is 148 less than 245 itself.

How to find the factors of 245 yourself

Divide 245 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 √24515.65, because every factor above that pairs with one below it.

245 ÷ 1 = 245
245 ÷ 5 = 49
245 ÷ 7 = 35

Reading both columns gives every factor: 1, 5, 7, 35, 49, 245. The factor calculator does this automatically for any number.

Frequently asked questions about 245

What are the factors of 245?

The factors of 245 are 1, 5, 7, 35, 49, and 245. That is 6 factors in total, counting both 1 and 245.

Is 245 a prime number?

No, 245 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 245 is also divisible by 5.

What is the prime factorization of 245?

The prime factorization of 245 is 5 × 7². Written out in full: 5 × 7 × 7 = 245. Its distinct prime factors are 5, 7.

What two numbers multiply to give 245?

There are 3 pairs of whole numbers that multiply to 245: 1 × 245, 5 × 49, 7 × 35.

What is the sum of the factors of 245?

Adding all the factors of 245 together gives 342. Excluding 245 itself, the proper factors sum to 97.

Is 245 a perfect square?

No, 245 is not a perfect square. There is no whole number that multiplies by itself to give 245. The nearest perfect squares are 225 and 256.

What is the largest factor of 245 other than itself?

The largest factor of 245 apart from 245 itself is 49, since 245 ÷ 49 = 5.

How many factors does 245 have?

245 has 6 factors: 1, 5, 7, 35, 49, and 245. You can verify this from the prime factorization 5 × 7²: add 1 to each exponent and multiply, giving 2 × 3 = 6.

Explore more

Try another number in the factor calculator, break 245 down further with the prime factorization calculator, or compare 245 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.