Suggested languages for you:

Americas

Europe

1

Expert-verifiedFound in: Page 22

Book edition
3rd

Author(s)
Thomas W Hungerford, David Leep

Pages
608 pages

ISBN
9781111569624

**Express each number as a product of primes:**

**$\left(a\right)5040\phantom{\rule{0ex}{0ex}}\left(b\right)-2345\phantom{\rule{0ex}{0ex}}\left(c\right)45670\phantom{\rule{0ex}{0ex}}\left(d\right)2,042,040$**

$\left(a\right)5040={2}^{4}\times {3}^{2}\times 5\times 7\phantom{\rule{0ex}{0ex}}\left(b\right)-2345=1\times 5\times 7\times 67\phantom{\rule{0ex}{0ex}}\left(c\right)45670=2\times 5\times 4567\phantom{\rule{0ex}{0ex}}\left(d\right)2042040={2}^{3}\times 3\times 5\times 7\times 11\times 13\times 17$

The prime divisors of number 5040 are 2, 3, 5, and 7.

Express 5040 as a product of primes as follows:

$\begin{array}{rcl}5040& =& 2\xb72\xb72\xb72\xb73\xb73\xb75\xb77\\ & =& {2}^{4}\times {3}^{2}\times 5\times 7\end{array}$

Thus, $5040={2}^{4}\times {3}^{2}\times 5\times 7$.

The prime divisors of number are , 5, 7, and 67.

Express -2345 as a product of primes as follows:

$-2345=1\times 5\times 7\times 67$

Thus, $-2345=1\times 5\times 7\times 67$.

** **

The prime divisors of number 45670 are 2, 5, and 4567.

Express 45670 as a product of primes as follows:

$45670=2\times 5\times 4567$

Thus, $45670=2\times 5\times 4567$.

The prime divisors of number 2042040 are 2, 3, 5, 7, 11, 13, and 17.

Express 2042040 as a product of primes as follows:

$\begin{array}{rcl}2042040& =& 2\times 2\times 2\times 3\times 5\times 7\times 11\times 13\times 17\\ & =& {2}^{3}\times 3\times 5\times 7\times 11\times 13\times 17\end{array}$

Thus, $2042040={2}^{3}\times 3\times 5\times 7\times 11\times 13\times 17$.

94% of StudySmarter users get better grades.

Sign up for free