Q: What are the prime factors of the number 21,343,140?

 A: 2, 3, 5, 7, 13, 1303

Why are those the prime factors of the number 21,343,140?

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 21,343,140

21,343,140
Factor Arrows
210,671,570
Factor Arrows
25,335,785
Factor Arrows
31,778,595
Factor Arrows
3592,865
Factor Arrows
5118,573
Factor Arrows
716,939
Factor Arrows
131,303

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, 7, 13, 1303

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 7 x 13 x 1,303 = 21,343,140

This can also be written as 22 x 32 x 51 x 71 x 131 x 1,3031 = 21,343,140

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


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