Q: What are the prime factors of the number 1,484,973?

 A: 3, 7, 97

Why are those the prime factors of the number 1,484,973?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 1,484,973

1,484,973
Factor Arrows
3494,991
Factor Arrows
3164,997
Factor Arrows
354,999
Factor Arrows
318,333
Factor Arrows
36,111
Factor Arrows
32,037
Factor Arrows
3679
Factor Arrows
797

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

3, 7, 97

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 3 x 7 x 97 = 1,484,973

This can also be written as 37 x 71 x 971 = 1,484,973

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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