Q: What are the prime factors of the number 1,867,060?

 A: 2, 5, 13, 43, 167

Why are those the prime factors of the number 1,867,060?

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 1,867,060

1,867,060
Factor Arrows
2933,530
Factor Arrows
2466,765
Factor Arrows
593,353
Factor Arrows
137,181
Factor Arrows
43167

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, 5, 13, 43, 167

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 13 x 43 x 167 = 1,867,060

This can also be written as 22 x 51 x 131 x 431 x 1671 = 1,867,060

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


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