The product of two whole numbers is 10,000. If neither number contains a zero digit, what are the two numbers?

The two whole numbers are 100 and 100, with a product of 10,000, and neither number contains a zero-digit.
The product of 100 and 100 is 10,000. Both numbers are whole and do not contain any zero-digit.
This is because when multiplied together, the non-zero digits from each number combine to form 10,000.
Each number contributes two non-zero digits (1 and 0), and when multiplied, these digits form the desired product.
Additionally, 100 is the smallest whole number whose square is 10,000, making it a suitable choice for one of the numbers in this scenario, with the other number being the same.

Answered by pragyaIRA | 2024-06-24

The two whole numbers that have a product of 10,000 and do not contain the digit 0 are 16 and 625. They meet the required conditions, as neither contains a zero and their multiplication gives the desired product. By prime factorization, both numbers can be derived from 10,000.
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Answered by pragyaIRA | 2024-12-20