Q: What are the prime factors of the number 43,848,460?

 A: 2, 5, 2192423

Why are those the prime factors of the number 43,848,460?

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 43,848,460

43,848,460
Factor Arrows
221,924,230
Factor Arrows
210,962,115
Factor Arrows
52,192,423

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, 5, 2192423

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 2,192,423 = 43,848,460

This can also be written as 22 x 51 x 2,192,4231 = 43,848,460

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


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