Q: What are the prime factors of the number 76,553,412?

 A: 2, 3, 13, 47, 53, 197

Why are those the prime factors of the number 76,553,412?

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 76,553,412

76,553,412
Factor Arrows
238,276,706
Factor Arrows
219,138,353
Factor Arrows
36,379,451
Factor Arrows
13490,727
Factor Arrows
4710,441
Factor Arrows
53197

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, 13, 47, 53, 197

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 13 x 47 x 53 x 197 = 76,553,412

This can also be written as 22 x 31 x 131 x 471 x 531 x 1971 = 76,553,412

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


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