Q: What are the prime factors of the number 121,544,451?

 A: 3, 7, 39373

Why are those the prime factors of the number 121,544,451?

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 121,544,451

121,544,451
Factor Arrows
340,514,817
Factor Arrows
313,504,939
Factor Arrows
71,929,277
Factor Arrows
7275,611
Factor Arrows
739,373

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, 39373

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 7 x 7 x 39,373 = 121,544,451

This can also be written as 32 x 73 x 39,3731 = 121,544,451

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


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