Q: What are the prime factors of the number 46,210,010?

 A: 2, 5, 7, 11, 60013

Why are those the prime factors of the number 46,210,010?

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 46,210,010

46,210,010
Factor Arrows
223,105,005
Factor Arrows
54,621,001
Factor Arrows
7660,143
Factor Arrows
1160,013

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, 5, 7, 11, 60013

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 11 x 60,013 = 46,210,010

This can also be written as 21 x 51 x 71 x 111 x 60,0131 = 46,210,010

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


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