Q: What are the prime factors of the number 65,542,104?

 A: 2, 3, 910307

Why are those the prime factors of the number 65,542,104?

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 65,542,104

65,542,104
Factor Arrows
232,771,052
Factor Arrows
216,385,526
Factor Arrows
28,192,763
Factor Arrows
32,730,921
Factor Arrows
3910,307

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, 910307

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 910,307 = 65,542,104

This can also be written as 23 x 32 x 910,3071 = 65,542,104

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


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