Q: What are the prime factors of the number 79,874,436?

 A: 2, 3, 59, 101, 1117

Why are those the prime factors of the number 79,874,436?

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 79,874,436

79,874,436
Factor Arrows
239,937,218
Factor Arrows
219,968,609
Factor Arrows
36,656,203
Factor Arrows
59112,817
Factor Arrows
1011,117

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, 59, 101, 1117

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 59 x 101 x 1,117 = 79,874,436

This can also be written as 22 x 31 x 591 x 1011 x 1,1171 = 79,874,436

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


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