Factor Calculator

Factors of 1075

The factors of 1075 are 1, 5, 25, 43, 215, and 1075. In total, 1075 has 6 factors. Its prime factorization is 5² × 43, and the sum of all its factors is 1364.

All factors of 1075

Here are all 6 factors of 1075, listed from smallest to largest.

1525432151075

Factor pairs of 1075

These 3 pairs of whole numbers each multiply to give 1075.

1 × 1075 = 1075
5 × 215 = 1075
25 × 43 = 1075

Prime factorization of 1075

Dividing 1075 by the smallest prime at each step gives its prime factorization:

1075 ÷ 5 = 215
215 ÷ 5 = 43
43 ÷ 43 = 1
Result: 1075 = 5 × 5 × 43 = 5² × 43

The distinct prime factors of 1075 are 5, 43. To factorize any other number, use the prime factorization calculator.

Factor tree of 1075

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

Factor tree of 107510755215543
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1075

Number of factors6
Sum of factors1364
Sum of proper factors289
Prime factorization5² × 43
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1075 interesting

  • 1075 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
  • 1075 is a deficient number: its proper factors sum to 289, which is 786 less than 1075 itself.

How to find the factors of 1075 yourself

Divide 1075 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 √1075 ≈ 32.79, because every factor above that pairs with one below it.

1075 ÷ 1 = 1075 ✓
1075 ÷ 5 = 215 ✓
1075 ÷ 25 = 43 ✓

Reading both columns gives every factor: 1, 5, 25, 43, 215, 1075. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1075.

Frequently asked questions about 1075

What are the factors of 1075?

The factors of 1075 are 1, 5, 25, 43, 215, and 1075. That is 6 factors in total, counting both 1 and 1075.

Is 1075 a prime number?

No, 1075 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 1075 is also divisible by 5.

What is the prime factorization of 1075?

The prime factorization of 1075 is 5² × 43. Written out in full: 5 × 5 × 43 = 1075. Its distinct prime factors are 5, 43.

What two numbers multiply to give 1075?

There are 3 pairs of whole numbers that multiply to 1075: 1 × 1075, 5 × 215, 25 × 43.

What is the sum of the factors of 1075?

Adding all the factors of 1075 together gives 1364. Excluding 1075 itself, the proper factors sum to 289.

Is 1075 a perfect square?

No, 1075 is not a perfect square. There is no whole number that multiplies by itself to give 1075. The nearest perfect squares are 1024 and 1089.

What is the largest factor of 1075 other than itself?

The largest factor of 1075 apart from 1075 itself is 215, since 1075 ÷ 215 = 5.

How many factors does 1075 have?

1075 has 6 factors: 1, 5, 25, 43, 215, and 1075. You can verify this from the prime factorization 5² × 43: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 1075 down further with the prime factorization calculator, or compare 1075 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.