Q: What are the prime factors of the number 3,436,056?

 A: 2, 3, 13, 3671

Why are those the prime factors of the number 3,436,056?

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 3,436,056

3,436,056
Factor Arrows
21,718,028
Factor Arrows
2859,014
Factor Arrows
2429,507
Factor Arrows
3143,169
Factor Arrows
347,723
Factor Arrows
133,671

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, 13, 3671

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 13 x 3,671 = 3,436,056

This can also be written as 23 x 32 x 131 x 3,6711 = 3,436,056

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


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