Q: What are the prime factors of the number 118,283,264?

 A: 2, 11, 10501

Why are those the prime factors of the number 118,283,264?

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 118,283,264

118,283,264
Factor Arrows
259,141,632
Factor Arrows
229,570,816
Factor Arrows
214,785,408
Factor Arrows
27,392,704
Factor Arrows
23,696,352
Factor Arrows
21,848,176
Factor Arrows
2924,088
Factor Arrows
2462,044
Factor Arrows
2231,022
Factor Arrows
2115,511
Factor Arrows
1110,501

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, 11, 10501

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 11 x 10,501 = 118,283,264

This can also be written as 210 x 111 x 10,5011 = 118,283,264

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


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