Q: What are the prime factors of the number 18,852,570?

 A: 2, 3, 5, 11, 137, 139

Why are those the prime factors of the number 18,852,570?

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 18,852,570

18,852,570
Factor Arrows
29,426,285
Factor Arrows
33,142,095
Factor Arrows
31,047,365
Factor Arrows
5209,473
Factor Arrows
1119,043
Factor Arrows
137139

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, 137, 139

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 11 x 137 x 139 = 18,852,570

This can also be written as 21 x 32 x 51 x 111 x 1371 x 1391 = 18,852,570

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


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