Q: What are the prime factors of the number 42,460,136?

 A: 2, 19, 137, 2039

Why are those the prime factors of the number 42,460,136?

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 42,460,136

42,460,136
Factor Arrows
221,230,068
Factor Arrows
210,615,034
Factor Arrows
25,307,517
Factor Arrows
19279,343
Factor Arrows
1372,039

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, 19, 137, 2039

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 19 x 137 x 2,039 = 42,460,136

This can also be written as 23 x 191 x 1371 x 2,0391 = 42,460,136

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


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