Q: What are the prime factors of the number 2,113,000?

 A: 2, 5, 2113

Why are those the prime factors of the number 2,113,000?

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 2,113,000

2,113,000
Factor Arrows
21,056,500
Factor Arrows
2528,250
Factor Arrows
2264,125
Factor Arrows
552,825
Factor Arrows
510,565
Factor Arrows
52,113

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, 2113

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 5 x 2,113 = 2,113,000

This can also be written as 23 x 53 x 2,1131 = 2,113,000

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


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