Q: What are the prime factors of the number 7,368,570?

 A: 2, 3, 5, 11, 827

Why are those the prime factors of the number 7,368,570?

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 7,368,570

7,368,570
Factor Arrows
23,684,285
Factor Arrows
31,228,095
Factor Arrows
3409,365
Factor Arrows
3136,455
Factor Arrows
345,485
Factor Arrows
59,097
Factor Arrows
11827

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, 11, 827

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 5 x 11 x 827 = 7,368,570

This can also be written as 21 x 34 x 51 x 111 x 8271 = 7,368,570

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


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