Free Prime Factorization Calculator

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Let's say something about PRIME numbers first:

• are whole numbers that
• can't be divided by any number - other than 1 and itself (with no remainder)
• are always odd numbers (but not all odd numbers are primes)
• are greater than 1 (1 is NOT a prime number)

On the other hand, every composite number can be factored to primes, and this is what this calculator is for.

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Now let's remind ourselfs what are FACTORS:

3	×	5	=	15
factor	×	factor	=	multiple (product)

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Composites examples:

• 12 = 3 × 2 × 2 = 3 × 2²
  => 12 is divisible by 2, 3, 4 and 6 (apart from 1 and 12)


• 15 = 3 × 5
  => 15 is divisible by 3 and 5 (apart from 1 and 15)


• 54 = 2 × 3 × 3 × 3 = 2 × 3³
  => 54 is divisible by 1, 2, 3, 6, 9, 18 and 27 (apart from 1 and 54)

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Primes examples:

• 5 = 5 × 1
  => is divisible only by 5 and 1


• 11 = 11 × 1
  => is divisible only by 11 and 1


• 29 = 29 × 1
  => is divisible only by 29 and 1

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Prime Factorization Calculator:

Enter the number:
Prime factors are:
H

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TABLE of PRIME and COMPOSITE numbers to 100.

	2	3	4	5	6	7	8	9	10
11	12	13	14	15	16	17	18	19	20
21	22	23	24	25	26	27	28	29	30
31	32	33	34	35	36	37	38	39	40
41	42	43	44	45	46	47	48	49	50
51	52	53	54	55	56	57	58	59	60
61	62	63	64	65	66	67	68	69	70
71	72	73	74	75	76	77	78	79	80
81	82	83	84	85	86	87	88	89	90
91	92	93	94	95	96	97	98	99	100

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