Study Guides/Maths/Factors of 35
Study Guide ยท Maths

Factors of 35 and Prime Factorization

The number 35 is an odd composite number. Let's find out all the factors of 35 by finding which integers can divide it without leaving a remainder.

Question (Click to Flip)

What are the factors of 35?

Answer

The factors of 35 are 1, 5, 7, and 35.

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Key Facts

Factors of 35: 1, 5, 7, 35.

Total number of factors: 4.

Prime factors: 5 and 7.

Type: Odd Composite Number.

What are the Factors of 35?

We find the factors by testing multiplication pairs:

  • 1 ร— 35 = 35
  • Does 2 work? No, 35 is odd.
  • Does 3 work? No, 3+5=8 (not divisible by 3).
  • Does 4 work? No.
  • 5 ร— 7 = 35

There are no other whole numbers between 5 and 7 that divide 35. Therefore, the factors of 35 are: 1, 5, 7, and 35.

Factor Pairs of 35

  • Positive factor pairs: (1, 35), (5, 7)
  • Negative factor pairs: (-1, -35), (-5, -7)

Prime Factorization of 35

To find the prime factorization, we break 35 down into prime numbers.

  • 35 รท 5 = 7
  • Both 5 and 7 are prime numbers.

Prime Factorization of 35 = 5 ร— 7

Questions and Answers

What are the factors of 35?+

The factors of 35 are 1, 5, 7, and 35.

Is 35 a prime number?+

No, 35 is a composite number because it has more than two factors. It is divisible by 1, 5, 7, and 35.

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