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Q:

# What are the factors of 54?

A:

The factors of 54 are 1, 54, 3, 18, 2, 27, 6 and 9. Factors are the numbers that evenly multiply into a given number.

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Factor pairs equal a given number, when multiplied together in factorization. Every number has at least one factor pair: 1 and itself. Numbers that can only be factored by 1 and themselves are prime numbers. Because 54 has more than one factorization, it is a composite number.

Multiplying 1 and 54 produces 54, as does 3 and 18, 2 and 27, and 6 and 9. Each of these is a factor pair of 54.

Prime factorization produces a number, using only the prime number factors. The prime numbers of 54 are 2 and 3, because each of these numbers has exactly one factor pair. Therefore, the prime factorization of 54 is 2 multiplied by 3 multiplied by 3 multiplied by 3.

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## Related Questions

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The factors of 35 are one, five, seven and 35. The negative integers of these numbers can also be considered factors of 35 because multiplying the two negative integers produces a positive integer. The first 10 multiples of 35 are 70, 105, 140, 175, 210, 245, 280, 315 and 350.

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The factors of eighty-seven are one, three, twenty-nine, and eighty-seven. Three and twenty-nine are both prime numbers in this case -- there are no other factors.

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There are nine factors of 36: 1, 2, 3, 4, 6, 9, 12, 18 and 36. Because the number 36 has more than two factors, it is termed a composite number in mathematics.