Q: What are the prime factors of the number 77,600,056?

 A: 2, 29, 53, 6311

Why are those the prime factors of the number 77,600,056?

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 77,600,056

77,600,056
Factor Arrows
238,800,028
Factor Arrows
219,400,014
Factor Arrows
29,700,007
Factor Arrows
29334,483
Factor Arrows
536,311

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, 29, 53, 6311

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 29 x 53 x 6,311 = 77,600,056

This can also be written as 23 x 291 x 531 x 6,3111 = 77,600,056

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


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