WorkedMathGlossary

Factors of 50

The factors of 50 are 1, 2, 5, 10, 25, 50. No, 50 is a composite number. Its prime factorization is 2 × 5^2.

Factors of 50
1, 2, 5, 10, 25, 50
6 factors
Prime or Composite
Composite
Perfect Square
No
Prime Factorization
2 × 5^2
Sum of Factors
93 (43 without 50 itself)

Factor pairs of 50

Every factor has a partner that multiplies with it to give 50. Listing pairs from the outside in is the fastest way to find all the factors: once the two numbers in a pair meet in the middle, you have them all.

PairCheck
1 and 501 × 50 = 50
2 and 252 × 25 = 50
5 and 105 × 10 = 50

Prime factorization of 50, step by step

Divide by the smallest prime that goes in evenly, then repeat on the result until you reach 1. The divisors you used are the prime factors.

StepDivideResult
150 ÷ 225
225 ÷ 55
35 ÷ 51

So 50 = 2 × 5 × 5, written compactly as 2 × 5^2.

Divisibility checks for 50

The quick rules a student uses before dividing, applied to 50:

Divisible byRuleFor 50Result
2last digit is evenlast digit 0yes
3digit sum divisible by 3digits add to 5no
4last two digits divisible by 450 ÷ 4no
5last digit is 0 or 5last digit 0yes
6divisible by both 2 and 3even, digit sum 5no
8last three digits divisible by 850 ÷ 8no
9digit sum divisible by 9digits add to 5no
10last digit is 0last digit 0yes

Frequently Asked Questions

What are the factors of 50?

The factors of 50 are 1, 2, 5, 10, 25, 50.

Is 50 a prime number?

No, 50 is a composite number. Its prime factorization is 2 × 5^2.

How many factors does 50 have?

50 has 6 factors. You can get that count from the prime factorization without listing them: add 1 to each exponent in 2 × 5^2 and multiply -- (1+1) × (2+1) = 6.

Is 50 even or odd?

50 is even (2 is one of its factors).

What is the sum of the factors of 50?

1 + 2 + 5 + 10 + 25 + 50 = 93. Leaving out 50 itself, the proper factors add to 43, less than 50, so 50 is a deficient number.

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