#include <bits/stdc++.h>

using namespace std;
#define int long long
typedef pair<int, int> PII;

const int N = 110;
const int MOD = 1e9 + 7;

unordered_map<int, int> primes;
int n;

signed main() {
    cin >> n;
    while (n--) {
        int x;
        cin >> x;
        for (int i = 2; i <= x / i; i++)
            while (x % i == 0) {
                x /= i;
                primes[i]++;
            }
        if (x > 1) primes[x]++;
    }

    int res = 1;
    for (auto p : primes) res = res * (p.second + 1) % MOD;

    printf("%lld\n", res);
}