Q: What are the prime factors of the number 87,433,360?

 A: 2, 5, 7, 156131

Why are those the prime factors of the number 87,433,360?

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 87,433,360

87,433,360
Factor Arrows
243,716,680
Factor Arrows
221,858,340
Factor Arrows
210,929,170
Factor Arrows
25,464,585
Factor Arrows
51,092,917
Factor Arrows
7156,131

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, 7, 156131

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 7 x 156,131 = 87,433,360

This can also be written as 24 x 51 x 71 x 156,1311 = 87,433,360

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


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