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Popular Pre Algebra >

Find the Possible Factors 900

Solution

factors

Solution

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Solution steps

900

Find the Prime factors of

900 : 2, 2, 3, 3, 5, 5

900

900

divides by

2900 = 450 \cdot 2

= 2 \cdot 450

450

divides by

2450 = 225 \cdot 2

= 2 \cdot 2 \cdot 225

225

divides by

3225 = 75 \cdot 3

= 2 \cdot 2 \cdot 3 \cdot 75

75

divides by

375 = 25 \cdot 3

= 2 \cdot 2 \cdot 3 \cdot 3 \cdot 25

25

divides by

525 = 5 \cdot 5

= 2 \cdot 2 \cdot 3 \cdot 3 \cdot 5 \cdot 5

2, 3, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 3 \cdot 3 \cdot 5 \cdot 5

Multiply the prime factors of

900 : 4, 6, 12, 9, 18, 36, 10, 20, 15, 30, 60, 45, 90, 180, 25, 50, 100, 75, 150, 300, 225, 450

2 \cdot 2 = 4

2 \cdot 3 = 6

4, 6, 12, 9, 18, 36, 10, 20, 15, 30, 60, 45, 90, 180, 25, 50, 100, 75, 150, 300, 225, 450

4, 6, 12, 9, 18, 36, 10, 20, 15, 30, 60, 45, 90, 180, 25, 50, 100, 75, 150, 300, 225, 450

Add the prime factors:

2, 3, 5

Add 1 and the number

900

itself

1, 900

The factors of

900

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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