Express 140 as product of its prime factors
Answers
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Answer:
140
=
2
×
2
×
5
×
7
Explanation:
To write any number as a product of its prime factors, we should find all those prime numbers which when multiplied together form the number. Note that in such factorization, prime numbers can get repeated as well, but what is important is that
(1) all numbers are prime
(2) and their product is given number
Hence, we should divide the given number consistently by prime numbers starting with
2
, which is first prime number and continue till all factors are prime numbers.
Before we try this for given number
140
, let us list first few prime numbers, which are
{
2
,
3
,
5
,
7
,
11
,
13
,
17
,
19
,
23
,
29
,
...
}
Now
140
=
2
×
70
(and as
70
can be divided by
2
again)
=
2
×
2
×
35
=
2
×
2
×
5
×
7
As now we have all prime factors, the process is complete and prime factors of
140
are
2
×
2
×
5
×
7
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