Q: What are the prime factors of the number 24,432,435?

 A: 3, 5, 6703

Why are those the prime factors of the number 24,432,435?

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 24,432,435

24,432,435
Factor Arrows
38,144,145
Factor Arrows
32,714,715
Factor Arrows
3904,905
Factor Arrows
3301,635
Factor Arrows
3100,545
Factor Arrows
333,515
Factor Arrows
56,703

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, 5, 6703

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 5 x 6,703 = 24,432,435

This can also be written as 36 x 51 x 6,7031 = 24,432,435

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


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