Q: What are the prime factors of the number 612,222,600?

 A: 2, 3, 5, 11, 92761

Why are those the prime factors of the number 612,222,600?

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 612,222,600

612,222,600
Factor Arrows
2306,111,300
Factor Arrows
2153,055,650
Factor Arrows
276,527,825
Factor Arrows
325,509,275
Factor Arrows
55,101,855
Factor Arrows
51,020,371
Factor Arrows
1192,761

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, 5, 11, 92761

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 5 x 11 x 92,761 = 612,222,600

This can also be written as 23 x 31 x 52 x 111 x 92,7611 = 612,222,600

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


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