1 5 8    2 3 Nine-Digits-&-Equal-Products 4 6   7 9
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1.	Find this product:	158 × 23 = ________

2.	Now write down the four digits that were NOT used in the two
factors above in Step 1.  (That means, this time write down
4, 6, 7, and 9.)

3.	Use those four digits to make two 2-place numbers in such a
way that when you multiply them, you will get the same product
that you found in Step 1.

CAN  YOU  DO  IT  ?

Now, try the same kind of thing with these problems.

A)	174 × 32 = _________	and    ______ × ______ = __________

B)	532 × 14 = _________	and    ______ × ______ = __________

C)	158 × 32 = _________	and    ______ × ______ = __________

In the next two problems, use the four left over digits to make
a 3-place number and a one-place number for the other multiplication.

D)	327 × 18 = _________	and    ______ × ______ = __________

E)	329 × 14 = _________	and    ______ × ______ = __________

In the last two problems, use the five left over digits to make
a 3-place number and a 2-place number for the other multiplication.

F)	 96 × 73 = _________	and    ______ × ______ = __________

G)	 58 × 69 = _________	and    ______ × ______ = __________

Source for idea: H. E. Dudeney, Amusements in Mathematics.  Dover, 1958.
pp. 14 & 156.

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