Q: What are the prime factors of the number 36,361,616?

 A: 2, 101, 22501

Why are those the prime factors of the number 36,361,616?

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 36,361,616

36,361,616
Factor Arrows
218,180,808
Factor Arrows
29,090,404
Factor Arrows
24,545,202
Factor Arrows
22,272,601
Factor Arrows
10122,501

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, 101, 22501

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 101 x 22,501 = 36,361,616

This can also be written as 24 x 1011 x 22,5011 = 36,361,616

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


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