Q: What are the prime factors of the number 76,254,434?

 A: 2, 79, 113, 4271

Why are those the prime factors of the number 76,254,434?

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 76,254,434

76,254,434
Factor Arrows
238,127,217
Factor Arrows
79482,623
Factor Arrows
1134,271

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, 79, 113, 4271

We can check our work by multiplying all of the prime factors together: 2 x 79 x 113 x 4,271 = 76,254,434

This can also be written as 21 x 791 x 1131 x 4,2711 = 76,254,434

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


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