Q: What are the prime factors of the number 53,764,485?

 A: 3, 5, 61, 67, 877

Why are those the prime factors of the number 53,764,485?

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 53,764,485

53,764,485
Factor Arrows
317,921,495
Factor Arrows
53,584,299
Factor Arrows
6158,759
Factor Arrows
67877

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:

3, 5, 61, 67, 877

We can check our work by multiplying all of the prime factors together: 3 x 5 x 61 x 67 x 877 = 53,764,485

This can also be written as 31 x 51 x 611 x 671 x 8771 = 53,764,485

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


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