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# What are the factors and prime factors of 1375?

The factors of 1375 are 1, 5, 11, 25, 55, 125, 275, and 1375. The prime factors of 1375 are 5, 5, 5, and 11.

The prime factorization of 1375 is 5 x 5 x 5 x 11 or, in index form (in other words, using exponents), 53 x 11. Finding the prime factors:

To obtain the prime factors of a number, divide it by each of the prime numbers. If it can be divided by a Prime number without leaving a remainder, then that prime is one of its factors. Repeat this process with the prime number, if possible. If it can be divided again by the prime number then the prime is again a factor. if it can't be evenly divided then try the next prime number... and keep on going until the last prime you divide by gives a quotient of 1.

All the primes which have been factors, however often they have been used, are the prime factors of the number.

For example.... 1375

This cannot be evenly divided by 2, or by 3

it can be divided by 5.... 1375 / 5 = 275

275 can be divided again by 5.... 275 / 5 = 55

55 can be divided again by 5.... 55 / 5 = 11

11 cannot be evenly divided by 7

11 can be divided by 11.... 11 / 11 = 1

So now we have 5, 5, 5, and 11.

These are the prime factors of 1375. Study guides

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## A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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