Q: What are the prime factors of the number 1,370,820?

 A: 2, 3, 5, 11, 31, 67

Why are those the prime factors of the number 1,370,820?

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 1,370,820

1,370,820
Factor Arrows
2685,410
Factor Arrows
2342,705
Factor Arrows
3114,235
Factor Arrows
522,847
Factor Arrows
112,077
Factor Arrows
3167

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, 31, 67

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 11 x 31 x 67 = 1,370,820

This can also be written as 22 x 31 x 51 x 111 x 311 x 671 = 1,370,820

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


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