What are the factor pairs of 44?

The pairs are (1, 44), (2, 22) and (4, 11). Each pair multiplies to 44.

What is the greatest common factor of 44 and 66?

The GCF of 44 and 66 is 22. The common factors are 1, 2, 11 and 22, and 22 is the largest.

Factors of 44 - Factor Pairs & Prime Factorization

Q: What are the factors of 44?

The factors of 44 are 1, 2, 4, 11, 22 and 44. That is six factors, and each one divides 44 exactly.

Q: What is the prime factorization of 44?

44 = 2 × 2 × 11 = 2² × 11. Its prime factors are 2 and 11.

What Are the Factors of 44?

A coach with 44 seats has 11 rows of 4, and it can also be seen as 4 rows of 11 or 2 rows of 22. Every one of those tidy splits is a factor: a whole number that divides another number exactly, with no remainder.

The factors of 44 are 1, 2, 4, 11, 22 and 44. That is six factors.

Factor Pairs of 44

Look for pairs that multiply to 44, working from the outside in.

Handwritten notebook page titled Factors of 44 showing 1 × 44, 2 × 22, 4 × 11 all equal to 44, with the six factors 1, 2, 4, 11, 22 and 44 circled in red and the note 6 factors — The 3 pairs of 44, with every factor circled.

Start with 1 × 44.
Try 2. Since 44 ÷ 2 = 22, write 2 × 22.
Try 4. Since 44 ÷ 4 = 11, write 4 × 11.
Keep trying whole numbers until you reach 11, which is already in your list. Every factor is now found, so you are done.

Prime Factorization of 44

Prime factors show what 44 is built from. Split it and keep going until every branch is a prime.

Handwritten factor tree of 44 splitting down to the circled primes 2, 2 and 11, with 44 = 2 × 2 × 11 = 2² × 11 written below — Factor tree of 44. The circled primes are 2, 2 and 11.

So 44 = 2 × 2 × 11 = 2² × 11. Its prime factors are 2 and 11. Add 1 to each exponent and multiply: (2 + 1) × (1 + 1) = 6, which matches the list.

Divisibility check for 44

A number divides by 44 when it divides by 4 and 11. Take 132: its last two digits give 32 ÷ 4 = 8, and 1 − 3 + 2 = 0 so it divides by 11. So 132 is a multiple of 44.

Is 44 a Prime or Composite Number?

Composite. It has six factors. The sum of all factors is 1 + 2 + 4 + 11 + 22 + 44 = 84. The factors smaller than 44 add up to 40, which is less than 44, so 44 is called a deficient number.

Real-Life Uses of the Factors of 44

Buses. A coach with 44 seats has 11 rows of 4.
Teams. Forty-four players make 4 teams of 11.
Sharing. Forty-four stickers share evenly between 2, 4, 11 or 22 people.

Common Factors of 44 With Other Numbers

The factors of 66 are 1, 2, 3, 6, 11, 22, 33 and 66, so 44 and 66 share 1, 2, 11 and 22. The GCF is 22, which simplifies 44/66 to 2/3.

Quick Practice

Which of these are factors of 44: 5, 11 or 7? Only 11. Now try 45 and check it with the calculator.

Factors of 44