Q: What are the prime factors of the number 43,848,462?

 A: 2, 3, 7, 47, 97, 229

Why are those the prime factors of the number 43,848,462?

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 43,848,462

43,848,462
Factor Arrows
221,924,231
Factor Arrows
37,308,077
Factor Arrows
71,044,011
Factor Arrows
4722,213
Factor Arrows
97229

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, 7, 47, 97, 229

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 47 x 97 x 229 = 43,848,462

This can also be written as 21 x 31 x 71 x 471 x 971 x 2291 = 43,848,462

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


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