Q: What are the prime factors of the number 24,067,206?

 A: 2, 3, 17, 971

Why are those the prime factors of the number 24,067,206?

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 24,067,206

24,067,206
Factor Arrows
212,033,603
Factor Arrows
34,011,201
Factor Arrows
31,337,067
Factor Arrows
3445,689
Factor Arrows
3148,563
Factor Arrows
349,521
Factor Arrows
316,507
Factor Arrows
17971

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, 17, 971

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 3 x 17 x 971 = 24,067,206

This can also be written as 21 x 36 x 171 x 9711 = 24,067,206

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


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