Q: What are the prime factors of the number 37,770,000?

 A: 2, 3, 5, 1259

Why are those the prime factors of the number 37,770,000?

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 37,770,000

37,770,000
Factor Arrows
218,885,000
Factor Arrows
29,442,500
Factor Arrows
24,721,250
Factor Arrows
22,360,625
Factor Arrows
3786,875
Factor Arrows
5157,375
Factor Arrows
531,475
Factor Arrows
56,295
Factor Arrows
51,259

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, 1259

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 x 1,259 = 37,770,000

This can also be written as 24 x 31 x 54 x 1,2591 = 37,770,000

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


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