the product of two 2-digit numbers is 2028 and their HCF is 13 find the number
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the product of two numbers is 2028
H.C.F = 13
As we know,
product of two digit no. = H.C.F × L.C.M
= 2028 = 31 × L.C.M
=L.C.M = 2028/3
= L.C.M = 156
Now, you got L.C.M and H.C.F both
156 = 2×2×3×13
Thus , the number must consist of these no. in its prime factorization.
H.C.F = 13
As we know,
product of two digit no. = H.C.F × L.C.M
= 2028 = 31 × L.C.M
=L.C.M = 2028/3
= L.C.M = 156
Now, you got L.C.M and H.C.F both
156 = 2×2×3×13
Thus , the number must consist of these no. in its prime factorization.
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