Q: What are the prime factors of the number 107,421,462?

 A: 2, 3, 109, 54751

Why are those the prime factors of the number 107,421,462?

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 107,421,462

107,421,462
Factor Arrows
253,710,731
Factor Arrows
317,903,577
Factor Arrows
35,967,859
Factor Arrows
10954,751

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, 109, 54751

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 109 x 54,751 = 107,421,462

This can also be written as 21 x 32 x 1091 x 54,7511 = 107,421,462

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


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