Q: What are the prime factors of the number 71,960,472?

 A: 2, 3, 999451

Why are those the prime factors of the number 71,960,472?

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 71,960,472

71,960,472
Factor Arrows
235,980,236
Factor Arrows
217,990,118
Factor Arrows
28,995,059
Factor Arrows
32,998,353
Factor Arrows
3999,451

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, 999451

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 999,451 = 71,960,472

This can also be written as 23 x 32 x 999,4511 = 71,960,472

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


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