Factor Calculator

Factors of 574

The factors of 574 are 1, 2, 7, 14, 41, 82, 287, and 574. In total, 574 has 8 factors. Its prime factorization is 2 × 7 × 41, and the sum of all its factors is 1008.

All factors of 574

Here are all 8 factors of 574, listed from smallest to largest.

127144182287574

Factor pairs of 574

These 4 pairs of whole numbers each multiply to give 574.

1 × 574 = 574
2 × 287 = 574
7 × 82 = 574
14 × 41 = 574

Prime factorization of 574

Dividing 574 by the smallest prime at each step gives its prime factorization:

574 ÷ 2 = 287
287 ÷ 7 = 41
41 ÷ 41 = 1
Result: 574 = 2 × 7 × 41 = 2 × 7 × 41

The distinct prime factors of 574 are 2, 7, 41. To factorize any other number, use the prime factorization calculator.

Factor tree of 574

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

Factor tree of 5745742287741
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 574

Number of factors8
Sum of factors1008
Sum of proper factors434
Prime factorization2 × 7 × 41
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 574 interesting

  • 574 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.
  • 574 is a deficient number: its proper factors sum to 434, which is 140 less than 574 itself.
  • 574 has 3 distinct prime factors (2, 7, 41), which is why it has so many divisors.

How to find the factors of 574 yourself

Divide 574 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 √57423.96, because every factor above that pairs with one below it.

574 ÷ 1 = 574
574 ÷ 2 = 287
574 ÷ 7 = 82
574 ÷ 14 = 41

Reading both columns gives every factor: 1, 2, 7, 14, 41, 82, 287, 574. The factor calculator does this automatically for any number.

Frequently asked questions about 574

What are the factors of 574?

The factors of 574 are 1, 2, 7, 14, 41, 82, 287, and 574. That is 8 factors in total, counting both 1 and 574.

Is 574 a prime number?

No, 574 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 574 is also divisible by 2.

What is the prime factorization of 574?

The prime factorization of 574 is 2 × 7 × 41. Written out in full: 2 × 7 × 41 = 574. Its distinct prime factors are 2, 7, 41.

What two numbers multiply to give 574?

There are 4 pairs of whole numbers that multiply to 574: 1 × 574, 2 × 287, 7 × 82, 14 × 41.

What is the sum of the factors of 574?

Adding all the factors of 574 together gives 1008. Excluding 574 itself, the proper factors sum to 434.

Is 574 a perfect square?

No, 574 is not a perfect square. There is no whole number that multiplies by itself to give 574. The nearest perfect squares are 529 and 576.

What is the largest factor of 574 other than itself?

The largest factor of 574 apart from 574 itself is 287, since 574 ÷ 287 = 2.

How many factors does 574 have?

574 has 8 factors: 1, 2, 7, 14, 41, 82, 287, and 574. You can verify this from the prime factorization 2 × 7 × 41: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 574 down further with the prime factorization calculator, or compare 574 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.