Factors of 841

All factors of 841

Here are all 3 factors of 841, listed from smallest to largest.

Factor pairs of 841

These 2 pairs of whole numbers each multiply to give 841.

Notice the pair (29, 29) — because 841 is a perfect square, this pair uses the same number twice.

Prime factorization of 841

Dividing 841 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 841 are 29. To factorize any other number, use the prime factorization calculator.

Factor tree of 841

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

Properties of 841

What makes 841 interesting

• 841 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.
• 841 is a perfect square: 29 × 29 = 841. This is why it has an odd number of factors (3) — the pair (29, 29) counts only once.
• 841 is a deficient number: its proper factors sum to 30, which is 811 less than 841 itself.
• 841 is a prime power: it is 29 raised to the power of 2. All of its factors are powers of 29.

How to find the factors of 841 yourself

Divide 841 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 √841 ≈ 29.00, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 29, 841. The factor calculator does this automatically for any number.