Is 10007 a prime number?

Yes, 10,007 is a prime number. Its only factors are 1 and 10,007.

How to check that 10,007 is prime

A number is prime if no smaller prime up to its square root divides it. The square root of 10,007 is about 100.03, so it is enough to test the primes 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97.

Divide by	Remainder	Divides evenly?
2	1	No
3	2	No
5	2	No
7	4	No
11	8	No
13	10	No
17	11	No
19	13	No
23	2	No
29	2	No
31	25	No
37	17	No
41	3	No
43	31	No
47	43	No
53	43	No
59	36	No
61	3	No
67	24	No
71	67	No
73	6	No
79	53	No
83	47	No
89	39	No
97	16	No

None of them divides 10,007 evenly, so 10,007 is prime.

Quick facts about 10,007

Even or odd: odd.
Previous prime: 9973; next prime: 10009.
Primes up to 10,007: 1230.

Is it prime? Nearby numbers

Number	Prime?
4,001	Yes
5,003	Yes
7,919	Yes
9,973	Yes
65,537	Yes

Another number? Use the prime number checker for any value, or see the list of prime numbers.