Factor Calculator

Factors of 434

The factors of 434 are 1, 2, 7, 14, 31, 62, 217, and 434. In total, 434 has 8 factors. Its prime factorization is 2 × 7 × 31, and the sum of all its factors is 768.

All factors of 434

Here are all 8 factors of 434, listed from smallest to largest.

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Factor pairs of 434

These 4 pairs of whole numbers each multiply to give 434.

1 × 434 = 434
2 × 217 = 434
7 × 62 = 434
14 × 31 = 434

Prime factorization of 434

Dividing 434 by the smallest prime at each step gives its prime factorization:

434 ÷ 2 = 217
217 ÷ 7 = 31
31 ÷ 31 = 1
Result: 434 = 2 × 7 × 31 = 2 × 7 × 31

The distinct prime factors of 434 are 2, 7, 31. To factorize any other number, use the prime factorization calculator.

Factor tree of 434

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

Factor tree of 4344342217731
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 434

Number of factors8
Sum of factors768
Sum of proper factors334
Prime factorization2 × 7 × 31
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 434 interesting

  • 434 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 434 is a deficient number: its proper factors sum to 334, which is 100 less than 434 itself.
  • 434 has 3 distinct prime factors (2, 7, 31), which is why it has so many divisors.

How to find the factors of 434 yourself

Divide 434 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 √43420.83, because every factor above that pairs with one below it.

434 ÷ 1 = 434
434 ÷ 2 = 217
434 ÷ 7 = 62
434 ÷ 14 = 31

Reading both columns gives every factor: 1, 2, 7, 14, 31, 62, 217, 434. The factor calculator does this automatically for any number.

Frequently asked questions about 434

What are the factors of 434?

The factors of 434 are 1, 2, 7, 14, 31, 62, 217, and 434. That is 8 factors in total, counting both 1 and 434.

Is 434 a prime number?

No, 434 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 434 is also divisible by 2.

What is the prime factorization of 434?

The prime factorization of 434 is 2 × 7 × 31. Written out in full: 2 × 7 × 31 = 434. Its distinct prime factors are 2, 7, 31.

What two numbers multiply to give 434?

There are 4 pairs of whole numbers that multiply to 434: 1 × 434, 2 × 217, 7 × 62, 14 × 31.

What is the sum of the factors of 434?

Adding all the factors of 434 together gives 768. Excluding 434 itself, the proper factors sum to 334.

Is 434 a perfect square?

No, 434 is not a perfect square. There is no whole number that multiplies by itself to give 434. The nearest perfect squares are 400 and 441.

What is the largest factor of 434 other than itself?

The largest factor of 434 apart from 434 itself is 217, since 434 ÷ 217 = 2.

How many factors does 434 have?

434 has 8 factors: 1, 2, 7, 14, 31, 62, 217, and 434. You can verify this from the prime factorization 2 × 7 × 31: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 434 down further with the prime factorization calculator, or compare 434 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.