Q: What are the prime factors of the number 43,440,236?

 A: 2, 7, 17, 263, 347

Why are those the prime factors of the number 43,440,236?

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 43,440,236

43,440,236
Factor Arrows
221,720,118
Factor Arrows
210,860,059
Factor Arrows
71,551,437
Factor Arrows
1791,261
Factor Arrows
263347

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, 7, 17, 263, 347

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 17 x 263 x 347 = 43,440,236

This can also be written as 22 x 71 x 171 x 2631 x 3471 = 43,440,236

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


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