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In mathematics, a multiple is the product of any quantity and an integer. [1] In other words, for the quantities a and b , it can be said that b is a multiple of a if b = na for some integer n , which is called the multiplier .
Cycles of the unit digit of multiples of integers ending in 1, 3, 7 and 9 (upper row), and 2, 4, 6 and 8 (lower row) on a telephone keypad. Figure 1 is used for multiples of 1, 3, 7, and 9. Figure 2 is used for the multiples of 2, 4, 6, and 8. These patterns can be used to memorize the multiples of any number from 0 to 10, except 5.
An incremental formulation of the sieve [2] generates primes indefinitely (i.e., without an upper bound) by interleaving the generation of primes with the generation of their multiples (so that primes can be found in gaps between the multiples), where the multiples of each prime p are generated directly by counting up from the square of the ...
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SI multiples of metre (m) Submultiples Multiples Value SI symbol Name Value SI symbol Name 10 −1 m dm decimetre 10 1 m dam decametre 10 −2 m cm: centimetre: 10 2 m hm hectometre 10 −3 m mm: millimetre: 10 3 m km: kilometre: 10 −6 m μm: micrometre (micron) 10 6 m Mm megametre 10 −9 m nm: nanometre: 10 9 m Gm gigametre 10 −12 m pm ...
lcm(m, n) (least common multiple of m and n) is the product of all prime factors of m or n (with the largest multiplicity for m or n). gcd( m , n ) × lcm( m , n ) = m × n . Finding the prime factors is often harder than computing gcd and lcm using other algorithms which do not require known prime factorization.
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Multiplier (arithmetic), the number of multiples being computed in multiplication Constant multiplier, a constant factor with units of measurement; Lagrange multiplier, a scalar variable used in mathematics to solve an optimisation problem for a given constraint