Q: What are the prime factors of the number 62,746,230?

 A: 2, 3, 5, 193, 10837

Why are those the prime factors of the number 62,746,230?

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 62,746,230

62,746,230
Factor Arrows
231,373,115
Factor Arrows
310,457,705
Factor Arrows
52,091,541
Factor Arrows
19310,837

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, 193, 10837

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 193 x 10,837 = 62,746,230

This can also be written as 21 x 31 x 51 x 1931 x 10,8371 = 62,746,230

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


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