#素因数分解
def Prime_Factorization(N):
    if N<0:
        R=[[-1,1]]
    else:
        R=[]

    N=abs(N)

    if N&1==0:
        C=0
        while N&1==0:
            N>>=1
            C+=1
        R.append([2,C])

    if N%3==0:
        C=0
        while N%3==0:
            N//=3
            C+=1
        R.append([3,C])

    k=5
    Flag=0
    while k*k<=N:
        if N%k==0:
            C=0
            while N%k==0:
                C+=1
                N//=k
            R.append([k,C])
        k+=2+2*Flag
        Flag^=1

    if N!=1:
        R.append([N,1])

    return R
#==================================================
N,K=map(int,input().split())
A=list(map(int,input().split()))

Mod=10**9+7

P=[(p,e) for p,e in Prime_Factorization(K)]

m=len(P)
DP={(0,)*m:1}

for a in A:
    E=DP.copy()

    f=[0]*m
    for i in range(m):
        p,_=P[i]
        while a%p==0:
            f[i]+=1
            a//=p

    for u in E:
        v=list(u)
        for i in range(m):
            v[i]=min(u[i]+f[i],P[i][1])
        DP[tuple(v)]=(DP.get(tuple(v),0)+E[u])%Mod

end=tuple([e for p,e in P])
print(DP.get(end,0))