Q: Is 4,004 a Prime Number?

A: No, 4,004 is not a prime number.

Why is 4,004 not a prime number?

A prime number is a natural number, greater than one, that can only be divided by 1 and itself.

The number 4004 can be evenly divided by 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1,001 2,002 and 4,004, with no remainder.

Since 4,004 cannot be divided by just 1 and 4,004, it is not a prime number.

Number	4,002	4,003	4,005	4,006
Prime?	no	yes	no	no

All positive natural numbers are either a prime number or a composite number (except the number 1, which is neither).

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