toxicreck987
Answered

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How many factors of 10 are in 1000, only answer are three, two, four

Sagot :

anaihernandez2023

Answer:

Step-by-step explanation:

The number 1000 has prime factors:  2, 2, 2, 5, 5, 5.

The factors of 1000 include 1 and combinations of these numbers multiplied together (in any arrangement):

                    1,  2*2*2*5*5*5     or  1, 1000

                    1*2,  2*2*5*5*5    or  2, 500

                    1*2*2,  2*5*5*5    or  4, 250

                    . . .      (You already did these)

But, a “factor” is “a number or quantity that when multiplied with another produces a given number or expression,” so you should consider the following:

           How many 1's?    How many 5's?    How Many 2's?    [and any others ...]

1 =                    1                        0                    0

2 =                    1                        0                    1

4 =                    1                        0                    2

8 =                    1                        0                    3

5 =                    1                        1                    0

10 =                  1                        1                    1

20 =                  1                        1                    2

40 =                  1                        1                    3

25 =                  1                        2                    0

50 =                  1                        2                    1

100 =                1                        2                    2

200 =                1                        2                    3

125 =                1                        3                    0

250 =                1                        3                    1

500 =                1                        3                    2

1000 =              1                        3                    3

There are 4*4=16 factors because there can be 4 (that is, 0-3) 5's and 4 (that is 0-3) 2's.

cutiestar

Answer:

the answer to the question is four

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