Factors, Multiples & Prime Numbers Worksheet Generator (Factor Trees & Divisibility)

Print free factors, multiples and primes practice for ages 9–12. List every factor on a factor rainbow or a factor-pair T-chart, decide prime or composite, fill in factor trees and write the prime factorization, check the divisibility rules for 2, 3, 4, 5, 6, 9 and 10, list the first multiples, or cross out the sieve of Eratosthenes. Numbers to 50, 100 or 200, with an answer key.

Start with factor rainbows or T-charts so every factor has its partner, then prime or composite, then factor trees. Many of the composite numbers are the ones that look prime (51, 57, 87, 91). A factor tree can be drawn more than one way — the prime factorization at the end is always the same.

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Factor Rainbows
Write every factor of the number in order, smallest to largest. Each arc joins a factor pair.
  1. 191
  2. 221
  3. 348
  4. 436
  5. 557
  6. 690
Answer KeyFactor Rainbows
  1. 191
    171391
  2. 221
    13721
  3. 348
    12346812162448
  4. 436
    123469121836
  5. 557
    131957
  6. 690
    123569101518304590