Factors of 49

All factors of 49

Here are all 3 factors of 49, listed from smallest to largest.

Factor pairs of 49

These 2 pairs of whole numbers each multiply to give 49.

Notice the pair (7, 7) — because 49 is a perfect square, this pair uses the same number twice.

Prime factorization of 49

Dividing 49 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 49 are 7. To factorize any other number, use the prime factorization calculator.

Factor tree of 49

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

Properties of 49

What makes 49 interesting

• 49 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.
• 49 is a perfect square: 7 × 7 = 49. This is why it has an odd number of factors (3) — the pair (7, 7) counts only once.
• 49 is a deficient number: its proper factors sum to 8, which is 41 less than 49 itself.
• 49 is a prime power: it is 7 raised to the power of 2. All of its factors are powers of 7.

How to find the factors of 49 yourself

Divide 49 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 √49 ≈ 7.00, because every factor above that pairs with one below it.

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