Q: What are the prime factors of the number 243,464,544?

 A: 2, 3, 845363

Why are those the prime factors of the number 243,464,544?

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 243,464,544

243,464,544
Factor Arrows
2121,732,272
Factor Arrows
260,866,136
Factor Arrows
230,433,068
Factor Arrows
215,216,534
Factor Arrows
27,608,267
Factor Arrows
32,536,089
Factor Arrows
3845,363

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:

2, 3, 845363

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 845,363 = 243,464,544

This can also be written as 25 x 32 x 845,3631 = 243,464,544

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


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